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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, номер 3, страницы 45–50 (Mi basm269)

Research articles

On quasiidenties of torsion free nilpotent loops

Alexandru Covalschi

State Pedagogical University "Ion Creangă", Chisinău, Moldova

Аннотация: It is proved that any loop which contains an infinite cyclic group and does not contain infinite number of relative prime periodic elements has an infinite and independent basis of quasiidentities. In particular, any torsion free nilpotent loop has an infinite and independent basis of quasiidentities.

Ключевые слова и фразы: quasigroup, loop, quasiidentities, basis of quasiidentities, independent basis, coverage.

MSC: 17D05, 20N05

Поступила в редакцию: 19.11.2010

Язык публикации: английский



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