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<p>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.</p>

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Characterizing finitely based abelian Mal’cev varieties

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月19日

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  • Mateo Muro

摘要

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.