Characterizes finitely based abelian Mal’cev varieties, indicating key structural conditions.
In this paper, we prove the following characterization: an abelian Mal’cev variety is finitely based if and only it has finite type, its ring of idempotent binary terms is finitely presented, and its module of unary terms is finitely presented.
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Mateo Muro (2026) studied this question.
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