Automorphic Equivalence of Linear Algebras
A. Tsurkov
TL;DR
This paper investigates the distinction between geometric and automorphic equivalence in the variety of all linear algebras over an infinite field, highlighting significant differences between these concepts.
Contribution
It provides a detailed analysis of the differences between geometric and automorphic equivalence in linear algebras over infinite fields.
Findings
The difference between geometric and automorphic equivalence can be substantial.
Automorphic equivalence does not necessarily imply geometric equivalence in this context.
Abstract
In the variety of all linear algebras over the infinite field the difference between geometric and automorphic equivalence of algebras can be big.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology