A four-element algebra whose identities are not finitely based

DOI10.1007/BF02483103zbMath0449.08005MaRDI QIDQ1147176

Robert E. Park

Publication date: 1980

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

finite algebrafinite basis propertycritical algebras

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05)

Related Items (11)

Unnamed Item ⋮ Algebras from finite group actions and a question of Eilenberg and Schützenberger ⋮ Finite groupoids without finite bases for their identities ⋮ Lyndon's groupoid is not inherently nonfinitely based ⋮ COMPUTATIONAL COMPLEXITY OF THE FINITE ALGEBRA MEMBERSHIP PROBLEM FOR VARIETIES ⋮ On the minimal extension of sequences ⋮ Small idempotent clones I ⋮ The unique minimal clone with three essentially binary operations ⋮ Affine spaces over GF(4) ⋮ Unnamed Item ⋮ Nonfinitely based three-element idempotent groupoids

Cites Work

• Finite groupoids without finite bases for their identities
• Finite equational bases for finite algebras in a congruence-distributive equational class
• Para primal varieties: A study of finite axiomatizability and definable principal congruences in locally finite varieties
• Identities satisfied by a finite ring
• Bases for equational theories of semi-groups
• Identical relations in finite groups
• Equational Bases for Lattice Theories.
• Identities in Two-Valued Calculi
• Identities in Finite Algebras
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