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Abstract We define a unital algebra A over a field to be nearly simple if A contains a unique non-trivial ideal IA such that If A and B are two… Click to show full abstract
Abstract We define a unital algebra A over a field to be nearly simple if A contains a unique non-trivial ideal IA such that If A and B are two nearly simple algebras over , we consider the ideal structure of their tensor product The obvious non-trivial ideals of are: The purpose of this article is to characterize when are all non-trivial ideals of of the above form.
Keywords:
simple algebras;
nearly simple;
structure tensor;
tensor product;
ideal structure
Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!