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Abstract With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n -dimensional perfect… Click to show full abstract
Abstract With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n -dimensional perfect evolution algebra has a maximal basic ideal I which is unique except when the dimension of I is n-1. An application of our results leads to the description of the four dimensional perfect non-simple evolution algebras over a field with mild restrictions.
Keywords:
evolution;
evolution algebras;
basic ideals;
ideals evolution
Journal Title: Linear Algebra and its Applications
Year Published: 2019
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Journal Title: Linear Algebra and its Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!