RUS  ENG
Full version
JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2016 Volume 13, Pages 181–241 (Mi semr666)

This article is cited in 2 papers

Reviews

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

L. M. Martynov

Omsk State Pedagogical University, Tukhachevsky Enbankment, 14, 644099, Omsk, Russia

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.

UDC: 512.573

MSC: 08A05

Received December 9, 2015, published March 20, 2016

DOI: 10.17377/semi.2016.13.016



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024