Geodesic
Completeness, reducibility, primarity and purity for algebras: results and problems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 181-241

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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. 
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     author = {L. M. Martynov},
     title = {Completeness, reducibility, primarity and purity for algebras: results and problems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {181--241},
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     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a101/}
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L. M. Martynov. Completeness, reducibility, primarity and purity for algebras: results and problems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 181-241. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a101/