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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012 Number 3, Pages 72–80 (Mi basm320)

Invariant transformations of loop transversals. 2. The case of isotopy

Eugene Kuznetsov, Serghei Botnari

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, 5 Academiei str., Chisinau, MD-2028, Moldova

Abstract: The investigation of special transformations of loop transversals is continued. These transformations correspond to arbitrary isotopies of loop transversal operations (witch correspond to the considered loop transversals). Isotopies of loop transversal operations with the same unit are investigated.

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

MSC: 20N05

Received: 15.11.2012

Language: English



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