This article is cited in 2 papers

Research articles

Invariant transformations of loop transversals. 1. The case of isomorphism

Eugene Kuznetsov, Serghei Botnari

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chishinau, Moldova

Abstract: One special class of invariant transformations of loop transversals in groups is investigated. Transformations from this class correspond to arbitrary isomorphisms of transversal operations corresponding to the loop transversals mentioned above. Isomorphisms of loop transversal operations with the same unit 1 are investigated.

Keywords and phrases: quasigroup, loop, transversal, isomorphism, isotopy, crossed isotopy.

MSC: 20N05

Received: 10.01.2010

Language: English

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