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JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 2007 Volume 19, Issue 2, Pages 67–73 (Mi dm21)

This article is cited in 9 papers

Homomorphisms and endomorphisms of linear and alinear quasigroups

A. Kh. Tabarov


Abstract: In this paper, we study morphisms (automorphisms, endomorphisms) of linear and alinear quasigroups, give results on endomorphisms of an arbitrary quasigroup which generalise some results of a Shchukin's paper. We give necessary and sufficient conditions of homomorphisms of linear and alinear quasigroups in terms of endomorphisms of the corresponding group and present the form of an arbitrary endomorphism of linear, alinear, and $T$-quasigroups.

UDC: 562.12

Received: 08.03.2006

DOI: 10.4213/dm21


 English version:
Discrete Mathematics and Applications, 2007, 17:3, 253–260

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© Steklov Math. Inst. of RAS, 2024