Jaiyeola Temitope Gbolahan

@oauife.edu.ng

Professor of Mathematics, Faculty of Science
Obafemi Awolowo University

Jaiyeola Temitope Gbolahan


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https://researchid.co/jaiyeolatemitope

RESEARCH, TEACHING, or OTHER INTERESTS

Algebra and Number Theory, Discrete Mathematics and Combinatorics
40

Scopus Publications

804

Scholar Citations

14

Scholar h-index

31

Scholar i10-index

Scopus Publications

  • On Some Measures of Weak Associativity in Hypercompositional Structure and Implications in Chain Reactions
    Kehinde Gabriel Ilori, Oyeyemi Oluwaseyi Oyebola, Temitope Gbolahan Jaiyeola
    Match, 2026
    This study is based on the analysis of non-associativity in the hypercompositional algebraic structure of chain reaction and to discover the 'algebraic-behavior' of the elements using the probability of some non-associative properties. It was discovered that the hypercompositional algebraic structure that is represented in the chain reaction is non-associative. In addition, the 'algebraic-behavior' of each element based on the non-associative properties was analyzed, and elements with high, higher and highest probabilities were identified in the chain reaction. Some of the elements were found to be right nuclear, flexible, left alternative and right alternative. It was shown that the chain reaction structure has equal likelihood of being left nuclear or middle nuclear or right nuclear. Also, chain reaction structure was established to have equal likelihood of being flexible or left alternative. It was discovered that the chain reaction structure is more likely to be flexible or left alternative than being left nuclear or middle nuclear or right nuclear or right alternative. It was also discovered that the chain reaction structure is more likely to be right alternative than being left nuclear or middle nuclear or right nuclear. The differences in probabilities form the increasing sequence 0.0 < 0.008 < 0.08 < 0.088.
  • Connections between Basarab and Buchsteiner Loops
    Gideon Effiong, Temitope Gbolahan Jaiyeola, Martin Obi
    Proyecciones, 2025
    Basarab loops and Buchsteiner loops are both G-loops with deep algebraic andstructural properties. Extra loops belong to these two classes. This paper examinesthe main connections between these two classes of loops and examines the relationshipbetween Basarab loops and some other important classes of loops like: Osborn loop,conjugacy closed loop (CC-loop), Wilson loop, Moufang loop and extra loop. It wasestablished that Basarab loop is a class of loops which answers a cogent questionraised by Goodaire and Robinson in 1990: ‘Are there other equationally defined (andnaturally characterized) classes of G-loops (like the classes Wilson loops and extraloops) which are contained in the class of all conjugacy closed loops?’. It was shownthat the center and centrum of a Basarab loop coincide. A Basarab loop was foundto be both left A-loop and a right A-loop, and shown to be an inverse property loopif and only if its left and right inner mappings are commutators of left and righttranslations. The left and right inner mappings of a Basarab loop were proved to benuclear automorphisms. The following properties were discovered to be equivalent toeach other in a Basarab loop: flexibility, diassociativity, right inverse property, leftinverse property, inverse property, right alternative property, left alternative property,alternative property, anti-automorphic inverse property, any Moufang law and anyextra law.
  • Variations of some inverse properties in Cheban loops
    Quasigroups and Related Systems, 2025
  • Analysis of Weak Associativity in Some Hyper-Algebraic Structures that Represent Dismutation Reactions
    Kehinde Gabriel Iloria, Tèmı́tópé Gbóláhàn Jaiyéolá, Oyeyemi Oluwaseyi Oyebola, and
    Match, 2025
    In this paper, some chemical systems of Tin (Sn), Indium (In) and Vanadium (V) which are represented by hyper-algebraic structures (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) were studied. The analyses of their algebraic properties and the probabilities of elements in dismutation reactions were carried out with the aid of computer codes in Python programming language. It was shown that in the dismutation reactions, the left nuclear (Nλ)-probability, middle nuclear (Nµ)-probability and right nuclear (Nρ)-probability for each of the hyper-algebraic structures (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) i ess than 1.000. This implies that, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) are non-associative hyper-algebraic structures. Also, from the results obtained for FLEX-probability, it was shown that, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) have flexible elements because the values of their FLEX-probabilities are 1.000 each. Hence, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) are flexible. Overall, (SV , ⊕) exhibited the lowest measure of weak-associativity, (SSn, ⊕) exhibited lower measure of weak-associativity, and (SIn, ⊕) exhibited a low measure of weakassociativity.
  • HOLOMORPHY OF BASARAB LOOPS
    Gideon Okon Effiong, Temitope Gbolahan Jaiyeola, Martin Chucks Obi, Lukman Shina Akinola
    Gulf Journal of Mathematics, 2024
    A loop (Q,∙) is called a Basarab loop if the identities: (x ∙ yxρ)∙(xz)=x ∙ yz and (yx) ∙ (xλ z∙x)=yz ∙ x hold. The holomorphy of a Basarab loop Q was investigated with respect to a group A(Q)$ of automorphisms of the loop. Some necessary and sufficient conditions for an A(Q)-holomorph of a loop Q to be a left (right) Basarab loop or Basarab loop were established. Specifically, the A(Q)-holomorph of a loop Q was shown to be a left (right) Basarab loop if and only if Q is a left (right) Basarab loop and every element of A(Q) is left (right) regular. The A(Q)-holomorph of a loop Q was shown to be a Basarab loop if and only if Q is a Basarab loop, every element of A(Q) is both left and right nuclear and the A(Q)-generalized inner mappings of Q take some particular forms. These results were expressed in form of commutative diagrams. In any left (right) Basarab loop or Basarab loop Q, it was shown that the set of α ∈ A(Q) with four autotopic characterizations actually form normal subgroups of A(Q).
  • CRYPTO-AUTOMORPHISM GROUP OF SOME QUASIGROUPS
    Yakub Tunde Oyebo, Benard Osoba, Temitópe Gbólahan Jaiyeola
    Discussiones Mathematicae General Algebra and Applications, 2024
  • Some Characterizations of Generalized Middle Bol Loops
    Buletinul Academiei De Stiinte A Republicii Moldova Matematica, 2024
  • On the universality and isotopy-isomorphy of (r, s, t)-inverse quasigroups and loops with applications to cryptography
    Quasigroups and Related Systems, 2023
  • A study of the holomorphy of (r, s, t)-inverse loops
    Y. T. Oyebo, T. G. Jaiyéọlá, J. O. Adéníran
    Journal of Discrete Mathematical Sciences and Cryptography, 2023
  • Some Varieties of Loops (Bol-Moufang and Non-Bol-Moufang Types)
    Adewale Roland Tunde Sòlárìn, John Olusola Adéníran, Tèmítópé Gbóláhàn Jaiyéọlá, Abednego Orobosa Isere, Yakub Tunde Oyebo
    Steam H Science Technology Engineering Agriculture Mathematics and Health, 2023
  • On the isotopic characterizations of generalized Bol loops
    J. O. Adéníran, T. G. Jaiyéọlá, K. A. Ìdòwú
    Proyecciones, 2022
  • U-index: A new Universal metric as unique indicator of researcher's contributions to academic knowledge
    Olumuyiwa S. Asaolu, Temitope G. Jaiyeola, Mojisola R. Usikalu, Ezra Gayawan, Olubunmi Atolani, et al.
    Scientific African, 2022
  • Order of finite soft quasigroups with application to egalitarianism
    Temitope Gbolahan Jaiyeola, J.O. Olaleru, A. Oyem
    Discussiones Mathematicae General Algebra and Applications, 2022
  • Nuclear Identification of Some New Loop Identities of Length Five
    George Olufemi Olakunle, Tèmítòpé Gbóláhàn Jaíyéolá
    Buletinul Academiei De Stiinte A Republicii Moldova Matematica, 2022
  • Algebraic connections between right and middle Bol loops and their cores
    Benard Osoba, Temitope Gbolahan Jaiyeola
    Quasigroups and Related Systems, 2022
  • Isostrophy Bryant-Schneider Group-Invariant of Bol Loops
    Tèmítòpé Gbóláhàn Jaíyéolá, Benard Osoba, Anthony Oyem
    Buletinul Academiei De Stiinte A Republicii Moldova Matematica, 2022
  • On a class of power associative LCC-loops
    O.O. George, J.O. Olaleru, J.O. Adénı́ran, T.G. Jaiyéolá
    Extracta Mathematicae, 2022
  • Soft Neutrosophic Quasigroups
    Neutrosophic Sets and Systems, 2022
  • Basarab loop and the generators of its total multiplication group
    Temitope Jaiyéolá, Gideon Effiong
    Proyecciones, 2021
  • New algebraic properties of middle Bol loops II
    T. G. Jaiyéolá, S. P. David, O. O. Oyebola
    Proyecciones, 2021
  • LATIN QUANDLES AND APPLICATIONS TO CRYPTOGRAPHY
    Abednego Orobosa Isere, John Olúsolá Adéníran, Temitópé Gbóláhán Jaiyéolá
    Mathematics for Applications, 2021
  • Some Neutrosophic Triplet Subgroup Properties and Homomorphism Theorems in Singular Weak Commutative Neutrosophic Extended Triplet Group
    Neutrosophic Sets and Systems, 2021
  • On the Isotopy of some Varieties of Fenyves Quasi Neutrosophic Triplet Loop (Fenyves BCI-algebras)
    Neutrosophic Sets and Systems, 2020
  • Singular neutrosophic extended triplet groups and generalized groups
    Xiaohong Zhang, Xuejiao Wang, Florentin Smarandache, Tèmítópé Gbóláhàn Jaíyéolá, Tieyan Lian
    Cognitive Systems Research, 2019
  • Classification of Osborn loops of order 4n
    Abednego O. Isere, J. O. Adéniran, T. G. Jaiyéolá
    Proyecciones, 2019

RECENT SCHOLAR PUBLICATIONS

  • Mate I Loops
    TG Jaiyeola, OG Olufemi
    Quasigroups and Related Systems, 111-130 , 2026
    2026
    Citations: 1
  • The generators of total multiplication group of Cheban loop
    B Osoba, TG Jaiyeola, LO Adekola, MT Adenibuyan
    Journal of Algebra and Related Topics , 2026
    2026
  • Algebraic properties and representations of a class of power associative RCC-loops
    OO George, TG Jaiyeola
    Proyecciones (Antofagasta) 45 (1), 121-135 , 2026
    2026
    Citations: 1
  • BRYANT-SCHNEIDER GROUP OF BASARAB LOOP
    B OSOBA, TG JAIYEOLA, O BALOGUN
    Kragujevac Journal of Mathematics 50 (8), 1297-1312 , 2026
    2026
    Citations: 3
  • Connections between Basarab and Buchsteiner loops
    G Effiong, TG Jaiyeola, M Obi
    Proyecciones (Antofagasta) 44 (6), 1034-1068 , 2025
    2025
    Citations: 1
  • A CLASS OF POWER ASSOCIATIVE LCC-LOOPS AND SOME ASSOCIATED TOTAL INNER MAPPING GROUP QUESTIONS.
    TG Jaíyéolá, OO George, B Osoba, E Ilojide
    Algebras, Groups & Geometries 41 (1) , 2025
    2025
    Citations: 4
  • POLYGROUPOID, POLYQUASIGROUP, POLYLOOP AND THEIR NUCLEI: POLYGROUPOID, POLYQUASIGROUP, POLYLOOP AND THEIR NUCLEI
    KG Ilori, TG Jaiyeola, OO Oyebola, OB Ogunfolu, EA Alhassan
    Journal of the Nigerian Mathematical Society 44 (1), 115-137 , 2025
    2025
  • Impact of Tetfund in Nigerian tertiary education and the way forward: a critical review
    CU Chukwudi, TG Jaiyeola, MA Ibrahim, AO Morakinyo, K Sanusi
    Annals of Science and Technology 10 (2), 12-20 , 2025
    2025
  • On (α, β, γ)-quasigroups
    R Ilemobade, TG Jaiyeola
    Quasigroups and Related Systems, 15-15 , 2025
    2025
  • Algebraic properties of a class of power associative lcc-loops and some associated total inner mapping group questions
    TG Jaiyeola, OG Olufemi, B Osoba, E Ilojide
    Quasigroups and Related Systems, 51-56 , 2025
    2025
  • A study of extra polyloop and its algebraic properties
    OO Oyebola, TG Jaiyeola, GI Kehinde
    Quasigroups and Related Systems, 31-31 , 2025
    2025
  • Analysis of weak associativity in some hyper-algebraic structures that represent dismutation reactions
    KG Ilori, TG Jaiyeola, OO Oyeyemi
    MATCH Commun. Math. Comput. Chem 94 (2), 385-406 , 2025
    2025
  • Variations of some inverse properties in Cheban loops.
    B Osoba, TG Jaiyéọlá, AO Abdulkareem
    Quasigroups & Related Systems 33 (1) , 2025
    2025
  • Some characterizations of generalized middle Bol loops
    B Osoba, TG Jaíyéolá, A Orobosa, YT Oyebo
    Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 106 (3), 12-29 , 2024
    2024
    Citations: 3
  • Extra Polyloop-II and Its Representations
    OO Oyebola, TG Jaiyeola, KG Ilori
    International Conference on Representations of Algebras (ICRA 21) in … , 2024
    2024
    Citations: 1
  • Holomorphy of Basarab Loops
    GO Effiong, TG Jaiyeola, MC Obi, LS Akinola
    Gulf Journal of Mathematics 17 (1), 142-166 , 2024
    2024
    Citations: 3
  • Crypto-automorphism Group of some quasigroups
    YT Oyebo, B Osoba, TG Jaiyeola
    Discussiones Mathematicae-General Algebra and Applications 44 (1), 57-72 , 2024
    2024
    Citations: 8
  • On semi-symmetric (α, β, γ)-inverse quasigroup
    R Ilemobade, TG Jaiyeola
    2024
  • Some Varieties of Loops (Bol-Moufang and Non-Bol-Moufang Types)
    TG Jaiyéolá, AO Isere
    Algebra without Borders–Classical and Constructive Nonassociative Algebraic … , 2023
    2023
  • Some varieties of loops (Bol-Moufang and non-Bol-Moufang types)
    ART Sòlárìn, JO Adéníran, TG Jaiyéọlá, AO Isere, YT Oyebo
    Algebra without Borders–Classical and Constructive Nonassociative Algebraic … , 2023
    2023
    Citations: 21

MOST CITED SCHOLAR PUBLICATIONS

  • Singular neutrosophic extended triplet groups and generalized groups
    X Zhang, X Wang, F Smarandache, TG Jaíyéolá, T Lian
    Cognitive Systems Research 57, 32-40 , 2019
    2019
    Citations: 46
  • A study of new concepts in Smarandache quasigroups and loops
    TG Jaiyeola
    ProQuest Information and Learning: 300 N. Zeeb Road, USA, 200 , 2009
    2009
    Citations: 33
  • A study of new concepts in smarandache quasigroups and loops, ProQuest Information and Learning (ILQ)
    TG Jaiyeola
    Ann Arbor, USA, 127pp , 2009
    2009
    Citations: 32
  • Holomorph of generalized Bol loops
    JO Adéníran, TG Jaíyéolá, KA Ìdòwú
    arXiv preprint arXiv:1501.04620 , 2015
    2015
    Citations: 27
  • On some algebraic properties of generalized groups
    JO Adeniran, JT Akinmoyewa, ART Solarin, TG Jaiyeola
    arXiv preprint arXiv:0905.2065 , 2009
    2009
    Citations: 23
  • Some varieties of loops (Bol-Moufang and non-Bol-Moufang types)
    ART Sòlárìn, JO Adéníran, TG Jaiyéọlá, AO Isere, YT Oyebo
    Algebra without Borders–Classical and Constructive Nonassociative Algebraic … , 2023
    2023
    Citations: 21
  • An holomorphic study of the Smarandache concept in loops
    TG Jaiyeola
    Scientia Magna 2 (1), 1 , 2006
    2006
    Citations: 21
  • A University Examination Web Application Based on Linear-Sequential Life Cycle Model
    SI Bello, RO Bello, AO Babatunde, M Olugbebi, BO Bello
    Daffodil International University Journal of Science and Technology 12 (1), 23 , 2017
    2017
    Citations: 19
  • Some results on neutrosophic triplet group and their applications
    TG Jaíyéolá, F Smarandache
    Symmetry 10 (6), 202 , 2018
    2018
    Citations: 17
  • New identities in universal Osborn loops
    TG Jaiyeola, JO Adeniran
    arXiv preprint arXiv:0905.2040 , 2009
    2009
    Citations: 17
  • Parastrophic invariance of Smarandache quasigroups
    TG Jaiyeola
    arXiv preprint arXiv:0707.1420 , 2007
    2007
    Citations: 17
  • On holomorphy of fenyves BCI-algebras
    E Ilojide, TG Jaiyeola, MO Olatinwo
    arXiv preprint arXiv:1912.07141 , 2019
    2019
    Citations: 15
  • An holomorphic study of Smarandache automorphic and cross inverse property loops
    TG Jayieola
    Infinite Study , 2008
    2008
    Citations: 15
  • On the isotopic characterizations of generalized Bol loops
    JO Adeniran, TG Jaiyéọlá, KA Idowu
    Proyecciones (Antofagasta) 41 (4), 805-823 , 2022
    2022
    Citations: 14
  • Inverse properties in neutrosophic triplet loop and their application to cryptography
    TG Jaiyeola, F Smarandache
    Algorithms 11 (3), 32 , 2018
    2018
    Citations: 14
  • Holomorphy of Osborn loops
    AO Isere, JO Adeniran, TG Jaiyeola
    arXiv preprint arXiv:1709.06559 , 2017
    2017
    Citations: 14
  • Algebraic Connections between Right and Middle Bol loops and their Cores
    B Osoba, TG Jaiyeola
    Quasigroups and Related Systems 30 (1), 149-160 , 2022
    2022
    Citations: 13
  • Holomorph of generalized Bol loops II
    TG Jaiyeola, BA Popoola
    Infinite Study , 2015
    2015
    Citations: 12
  • The study of the universality of Osborn loops
    TG Jaiyeola
    Ph. D. thesis, University of Agriculture, Abeokuta , 2008
    2008
    Citations: 12
  • An isotopic study of properties of central loops
    TG Jaiyéolá
    Master's Thesis, University of Agriculture, Abeokuta, Nigeria , 2005
    2005
    Citations: 12