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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 181–241
DOI: https://doi.org/10.17377/semi.2016.13.016 (Mi semr666) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Completeness, reducibility, primarity and purity for algebras: results and problems

L. M. Martynov

Omsk State Pedagogical University, Tukhachevsky Enbankment, 14, 644099, Omsk, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.016
Abstract: We give a survey of researches of the author’s concepts (1995, 1996) completeness, reducibility, primarity, purity and problems about them (2000) for universal algebras, groups, modules, monoassociative algebras, semigroups, lattices and unary.
Keywords: universal algebra; variety of algebras; complete algebra; reduced algebra; periodic algebra; primary algebra; pure subalgebra.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 2014/336
Received December 9, 2015, published March 20, 2016
Bibliographic databases:
Document Type: Article
UDC: 512.573
MSC: 08A05
Language: Russian
Citation: L. M. Martynov, “Completeness, reducibility, primarity and purity for algebras: results and problems”, Sib. Èlektron. Mat. Izv., 13 (2016), 181–241
Citation in format AMSBIB
\Bibitem{Mar16}
\by L.~M.~Martynov
\paper Completeness, reducibility, primarity and purity for algebras: results and problems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 181--241
\mathnet{http://mi.mathnet.ru/semr666}
\crossref{https://doi.org/10.17377/semi.2016.13.016}
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