Zobrazeno 1 - 10
of 92
pro vyhledávání: '"osborn loops"'
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
Autor:
Isere, A. O.1 isereao@aauekpoma.edu.ng, Adéníran, J. O.2 adeniranoj@funaab.edu.ng, Jaiyéọlá, T. G.3 tjayeola@oauife.edu.ng
Publikováno v:
Proyecciones - Journal of Mathematics. Mar2019, Vol. 38 Issue 1, p31-47. 17p.
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
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
Publikováno v:
Quasigroups And Related Systems, Vol. 17, No. 1(2009), 55-76
A question associated with the 2005 open problem of Michael Kinyon (Is every Osborn loop universal?), is answered. Two nice identities that characterize universal (left and right universal) Osborn loops are established. Numerous new identities are es
Externí odkaz:
http://arxiv.org/abs/0905.2040
This study digs out some new algebraic properties of an Osborn loop that will help in the future to unveil the mystery behind the middle inner mappings $T_{(x)}$ of an Osborn loop. These new algebraic properties, will open our eyes more to the study
Externí odkaz:
http://arxiv.org/abs/0802.1429
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 53, Iss 2, Pp 81-98 (2015)
Let (L, ·) be any loop and let A(L) be a group of automorphisms of (L, ·) such that α and φ are elements of A(L). It is shown that, for all x, y, z ∈ L, the A(L)-holomorph (H, ○) = H(L) of (L, ·) is an Osborn loop if and only if xα(yz · x
Externí odkaz:
https://doaj.org/article/b87d3e6de0944b11bc164c3d52af568d
Autor:
Témítọ́pẹ́ Gbóláhán Jaíyéọlá
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 52, Iss 1, Pp 65-79 (2014)
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:
https://doaj.org/article/ff3e4c2dcafa4b43a288d28cc5e231aa
Autor:
Jaiyéolá, T. G., Adéníran, J. O.1
Publikováno v:
Surveys in Mathematics & its Applications. 2010, Vol. 5, p17-34. 18p. 2 Charts.
Autor:
T. G. Jaiyéolá, J. O. Adéníran
Publikováno v:
Surveys in Mathematics and its Applications, Vol 5, Pp 17-34 (2010)
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
Externí odkaz:
https://doaj.org/article/2b58d4de589747b68f755f2064f36e19