Complete classification of two-dimensional associative and diassociative algebras over any basic field
I.S.Rakhimov
TL;DR
This paper provides a comprehensive classification of all two-dimensional associative and diassociative algebras over any basic field, up to isomorphism, filling a fundamental gap in algebraic structure theory.
Contribution
It offers the first complete classification of these algebras over any basic field, extending previous results and providing a foundational reference.
Findings
Complete classification of 2D associative algebras
Complete classification of 2D diassociative algebras
Results hold over any basic field
Abstract
A complete classifications, up to isomorphism, of two-dimensional associative and diassociative algebras over any basic field are given.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms