This article is cited in 3 papers

A general version of standard bases in associative algebras and their universal constructions

V. N. Latyshev

M. V. Lomonosov Moscow State University

Abstract: This work is devoted, in some sense, to “methodical” questions. A general version of standard basis in ideal of algebra is presented which uses a notion of so called algebra with a strong filtration introduced recently by the author. Moreover, universal constructions related this class of algebras such as direct sums, tensor products, and free modules are considered.

UDC: 512.554

 English version: Journal of Mathematical Sciences (New York), 2010, 168:1, 123–132

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