Noetherian Properties of Skew Polynomial Rings with Binomial Relations
Open Access
- 1 May 1994
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 343 (1), 203-219
- https://doi.org/10.2307/2154529
Abstract
In this work we study standard finitely presented associative algebras over a fixed field K. A restricted class of skew polynomial rings with quadratic relations considered in an earlier work of M. Artin and W. Schelter will be studied. We call them binomial skew polynomial algebras. We establish necessary and sufficient conditions for such an algebra to be a Noetherian domain.Keywords
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