|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, Number 3, Pages 19–32
(Mi basm134)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
On some quasi-identities in finite quasigroups
G. Belyavskaya, A. Diordiev Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
Abstract:
In this article we consider some quasi-identities in quasigroups, in particular, quasi-identities connected with parastrophic orthogonality of a quasigroup. We also research some quasi-identities in quasigroups (in loops) with one parameter $\delta$ ($\delta$-quasi-identities) which arose by the study of detecting coding systems such as check character systems in [6] (see also [5, 7]), establish equivalence of such quasi-identities, connection of some of them with orthogonality of quasigroups and give a number of examples of finite quasigroups with such $\delta$-quasi-identities.
Keywords and phrases:
Quasigroup, loop, group, automorphism, quasi-identity, orthogonality, parastrophe.
Received: 12.12.2005
Citation:
G. Belyavskaya, A. Diordiev, “On some quasi-identities in finite quasigroups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 3, 19–32
Linking options:
https://www.mathnet.ru/eng/basm134 https://www.mathnet.ru/eng/basm/y2005/i3/p19
|
Statistics & downloads: |
Abstract page: | 274 | Full-text PDF : | 109 | References: | 46 | First page: | 1 |
|