COMPUTING NILPOTENT QUOTIENTS OF ASSOCIATIVE ALGEBRAS AND ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY-Reference-Cited by-同舟云学术

COMPUTING NILPOTENT QUOTIENTS OF ASSOCIATIVE ALGEBRAS AND ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY

Published:2011-12 Issue:08 Volume:21 Page:1339-1355
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

EICK BETTINA¹

Affiliation:

1. Institut Computational Mathematics, Technische Universität Braunschweig, Braunschweig, Germany

Abstract

We describe an effective algorithm to determine the maximal class-c quotient (or the maximal commutative class-c quotient) of a finitely presented associative algebra over an arbitrary field. As application, we investigate the relatively free d-generator algebras satisfying the identity xn = 0. In particular, we consider the identity x3 = 0 and the cases (d, n) = (2, 4) and (d, n) = (2, 5).

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196711006649

Reference13 articles.

1. Computing automorphism groups and testing isomorphisms for modular group algebras

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