FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 3, PAGES 183-203

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

V. N. Latyshev

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k09/k093/k09311h.htm

Last modified: January 13, 2010