Publications

Export 111 results:
Sort by: [ Author  (Asc)] Title Type Year
A B C D E F G H I [J] K L M N O P Q R S T U V W X Y Z   [Show ALL]
J
Jaiyeola, TG, Adeniran JO.  2008.   Algebraic properties of some varieties of central loops. Quasigroups And Related Systems. 16(1):37-54.qrspaper2.pdf
Jaiyeola, TG.  2010.  On Middle Universal Weak and Cross Inverse Property Loops With Equal Length of Inverse Cycles. Revista Colombiana de Matemáticas, . 44(2):79-89.revistacolumbina2010.pdf
Jaiyeola, TG.  2015.  Generalized right central loops. Afrika Matematika. 26 (7-8):1427-1442.
Jaiyeola, T, Ilojide E, Olatinwo M, Smarandache F.  2018.  On the Classification of Bol-Moufang Type of Some Varieties of Quasi Neutrosophic Triplet Loop (Fenyves BCI-Algebras), 2019/06/02. Abstract

In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chritened Fenyves BCI-algebras are introduced and studied. 60 Fenyves BCI-algebras are introduced and classified. Amongst these 60 classes of algebras, 46 are found to be associative and 14 are found to be non-associative. The 46 associative algebras are shown to be Boolean groups. Moreover, necessary and sufficient conditions for 13 non-associative algebras to be associative are also obtained: p-semisimplicity is found to be necessary and sufficient for a F 3 , F 5 , F 42 and F 55 algebras to be associative while quasi-associativity is found to be necessary and sufficient for F 19 , F 52 , F 56 and F 59 algebras to be associative. Two pairs of the 14 non-associative algebras are found to be equivalent to associativity (F 52 and F 55 , and F 55 and F 59). Every BCI-algebra is naturally an F 54 BCI-algebra. The work is concluded with recommendations based on comparison between the behaviour of identities of Bol-Moufang (Fenyves' identities) in quasigroups and loops and their behaviour in BCI-algebra. It is concluded that results of this work are an initiation into the study of the classification of finite Fenyves' quasi neutrosophic triplet loops (FQNTLs) just like various types of finite loops have been classified. This research work has opened a new area of research finding in BCI-algebras, visa -vis the emergence of 540 varieties of Bol-Moufang type quasi neutrosophic triplet loops. A 'Cycle of Algebraic Structures' which portrays this fact is provided.

Jaiyeola, TG, Adeniran JO.  2009.  Not every Osborn loop is universal. Acta Mathematica Academiae Paedagogiace Nyíregyháziensis. 25(2):189-190.amapn25_18.pdf
Jaiyeola, TG, Adeniran JO.  2012.  A new characterization of Osborn-Buchsteiner loops. Quasigroups And Related Systems. 20(2):233-238.
Jaiyeola, TG.  2014.  Some simplicial complexes of universal Osborn loops. Analele Universitatii De Vest Din Timisoara, Seria Matematica-Informatica (Publisher: De Gruyter-DOI: 10.2478/awutm-2014-0005). 52(1):65–79.
Jaiyeola, TG, Adeniran JO.  2009.   On the existence of A-loops with some commutative inner mappings and others of order 2. South East Asian Bulletin of Mathematics. 33(5):853-864.seabmfrom_journals_home_page.pdf
Jaiyeola, TG.  2009.  The Study of the Universality of Osborn Loops. (J.O. Adeniran, A. R. T. Solarin, Eds.)., Abeokuta: University of Agriculture
Jaiyeola, TG.  2013.  On Two Cryptographic Identities in Universal Osborn Loops. Journal of Discrete Mathematical Sciences and Cryptography. 16(2-3):95-116.
Jaiyeola, TG.  2009.  On a pair of universal weak inverse property loops. NUMTA Bulletin. 1:22-40.numta_2009_paper.pdf
Jaiyeola, TG, Ilojide E, Popoola BA.  2013.  On the isotopy structure of elements of the group P_P (Z_n). Journal of Nigerian Mathematical Society. 32:317-329.
Jaiyeola, TG.  2011.  On Middle Universal m-Inverse Quasigroups And Their Applications To Cryptography. Analele Universitatii De Vest Din Timisoara, Seria Matematica-Informatica. 49(1):69-87.aauvt2011.pdf
Jaiyeola, TG, David SP, Ilojide E, Oyebo YT.  2017.  Holomorphic structure of middle Bol loops. , Khayyam Journal of Mathematics. 3(2):172–184..
Jaiyeola, TG, Olurode KA, Osoba B.  2021.  Some Neutrosophic Triplet Subgroup Properties and Homomorphism Theorems in Singular Weak Commutative Neutrosophic Extended Triplet Group. Neutrosophic Sets and Systems . 45:459-487.
Jaiyeola, TG, Adeniran JO.  2008.  On some Autotopisms of Non-Steiner central loops. Journal of Nigerian Mathematical Society. 27:53-68.
Jaiyeola, TG, Adeniran JO, Solarin ART.  2011.  The universality of Osborn loops. Acta Universitatis Apulensis Mathematics-Informatics. 26:301-320.acta_apulensis26-2011.pdf
Jaiyeola, TG, David SP, Oyebo YT.  2015.  New algebraic properties of middle Bol loops. Societatea Română de Matematică Aplicată si Industrială Journal (ROMAI J.). 11 (2):161–183.
Jaiyeola, T, Effiong G.  2018.  Basarab loop and its variance with inverse properties, 2018/12/01. 26:229-238. Abstract

A loop (Q, ·) is called a Basarab loop if the identities: (x · yxρ)(xz) = x · yz and (yx) · (xλz · x) = yz · x hold. It is a special type of a G-loop. It was shown that a Basarab loop (Q, ·) has the cross inverse property if and only if (Q, ·) is an abelian group or all left (right) translations of (Q, ·) are right (left) regular. In a Basarab loop, the following propertiesare equivalent: flexibility property, right inverse property, left inverse property, inverse property, right alternative property, left alternative property and alternative property. The following were
proved: a Basarab loop is a weak inverse property loop if it is flexible such that the middle inner mapping is contained in a permutation group; a Basarab loop is an automorphic inverse property
loop if a semi-commutative law is obeyed such that the middle inner mapping is contained in a permutation group; a Basarab loop is an anti-automorphic inverse property loop if every element
has a two-sided inverse such that the middle inner mapping is contained in a permutation group; a Basarab loop is a semi-automorphic inverse property loop if the Basarab loop is flexible, the
middle inner mapping is contained in a permutation group such that a semi-cross inverse property holds; a Basarab loop with the m-inverse property such that a permutation condition is true is
a cross inverse property loop if it is flexible. Necessary and sufficient conditions for a Basarab loop to be of exponent 2 or a centrum square were established.

Jaiyeola, TG, Ilojide E, Saka AJ, Ilori KG.  2020.  On the Isotopy of some Varieties of Fenyves Quasi Neutrosophic Triplet Loop (Fenyves BCI-algebras). Neutrosophic Sets and Systems. 31:200-223.
Jaiyeola, TG.  2008.  On Smarandache Bryant Schneider group of A Smarandache loop. International Journal of Mathematical Combinatorics. 2:51-63.ijmc-2-2008on_smarandache_bryant_schneider_group_of_a_smarandache_loop.pdf