Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Jaiyeola, Temitope Gbolahan"'
This paper introduced the concept of soft quasigroup, its parastrophes, soft nuclei, left (right) coset, distributive soft quasigroups and normal soft quasigroups. Necessary and sufficient conditions for a soft set over a quasigroup (loop) to be a so
Externí odkaz:
http://arxiv.org/abs/2207.06582
Publikováno v:
Surveys in Mathematics and its Applications, Vol. 5 (2010), 17-34
In this study, by establishing an identity for universal Osborn loops, two other identities(of degrees 4 and 6) are deduced from it and they are recognized and recommended for cryptography in a similar spirit in which the cross inverse property(of de
Externí odkaz:
http://arxiv.org/abs/2009.03676
Publikováno v:
Journal of the Nigerian Mathematical Society (2019), Vol. 38, Issue 2, 139-155
Fenyves BCI-algebras are BCI-algebras that satisfy the Bol-Moufang identities. In this paper, the holomorphy of BCI-algebras are studied. It is shown that whenever a loop and its holomorph are BCI-algebras, the former is p-semisimple if and only if t
Externí odkaz:
http://arxiv.org/abs/1912.07141
Publikováno v:
Khayyam J.Math. 3 (2017) 172-184
A loop $(Q,\cdot,\backslash,/)$ is called a middle Bol loop if it obeys the identity $x(yz\backslash x)=(x/z)(y\backslash x)$. To every right (left) Bol loop corresponds a middle Bol loop via an isostrophism. In this paper, the structure of the holom
Externí odkaz:
http://arxiv.org/abs/1801.01384
Publikováno v:
Analele Universitatii De Vest Din Timisoara, Seria Matematica-Informatica 53 (2015) 81-98
Let $(L,\cdot)$ be any loop and let $A(L)$ be a group of automorphisms of $(L,\cdot)$ such that $\alpha$ and $\phi$ are elements of $A(L)$. It is shown that, for all $x,y,z\in L$, the $A(L)$-holomorph $(H,\circ)=H(L)$ of $(L,\cdot)$ is an Osborn loop
Externí odkaz:
http://arxiv.org/abs/1709.06559
Publikováno v:
Novi Sad Journal of Mathematics, Vol 44, No. 1, 37-51, 2014
The notion of the holomorph of a generalized Bol loop and generalized flexible-Bol loop are characterized. With the aid of two self-mappings on the holomorph of a loop, it is shown that: the loop is a generalized Bol loop if and only if its holomorph
Externí odkaz:
http://arxiv.org/abs/1501.04620
Publikováno v:
International Journal of Mathematical Combinatorics, Vol. 2 (2011), 79-97
Some varieties of groupoids and quasigroups generated by linear-bivariate polynomials $P(x,y)=a+bx+cy$ over the ring $\mathbb{Z}_n$ are studied. Necessary and sufficient conditions for such groupoids and quasigroups to obey identities which involve o
Externí odkaz:
http://arxiv.org/abs/1408.0991
Autor:
Jaiyeola, Temitope Gbolahan
A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex. A universal O
Externí odkaz:
http://arxiv.org/abs/1402.0499
Autor:
Zhang, Xiaohong, Wang, Xuejiao, Smarandache, Florentin, Jaíyéolá, Tèmítópé Gbóláhàn, Lian, Tieyan
Publikováno v:
In Cognitive Systems Research October 2019 57:32-40
Publikováno v:
Acta Mathematica Academiae Paedagogiace Ny\'iregyh\'aziensis, Vol. 25, No. 2 (2009), 189-190
Michael Kinyon's 2005 open problem, based on the universality of Osborn loops is solved. It is shown that not every Osborn loop is universal.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/1003.1378