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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2015 Volume 56, Number 3, Pages 704–714 (Mi smj2671)

This article is cited in 1 paper

The join of varieties with associative-commutative intersection of bounded index

O. V. Shashkov

Moscow State Regional Institute of Humanities, Orekhovo-Zuevo, Russia

Abstract: We prove that the join of finitely-based varieties of algebras with associative-commutative intersection of bounded index has a finite basis of identities.

Keywords: variety of algebras, join of varieties, finite basedness of a system of identities.

UDC: 519.48

Received: 02.04.2014

DOI: 10.17377/smzh.2015.56.319


 English version:
Siberian Mathematical Journal, 2015, 56:3, 557–564

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© Steklov Math. Inst. of RAS, 2026