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A. Kh. Tabarov

Homomorphisms and endomorphisms of linear and alinear quasigroups

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.

Discrete Mathematics and Applications, Walter de Gruyter

Print ISSN: 0924-9266
Volume: 17, 07/2007
Pages: 253 - 260

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