The finite basis problem for endomorphism semirings of finite semilattices with zero.

DOI10.1007/s00012-009-0024-0zbMath1197.16047OpenAlexW2034944699MaRDI QIDQ1047111

Igor Dolinka

Publication date: 4 January 2010

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

Full work available at URL: https://doi.org/10.1007/s00012-009-0024-0

zbMATH Keywords

locally finite varietiesfinite basis probleminherently nonfinitely based varietiesidentity basesendomorphism semirings of semilattices

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Semirings (16Y60)

Related Items

On the varieties of ai-semirings satisfying \({x^{3}\approx x}\), Semiring identities of finite inverse semigroups, On the varieties generated by ai-semirings of order two., On some varieties of ai-semirings satisfying \(x^{p+1} \approx x\), On a variety of Burnside ai-semirings satisfying \(x^n\approx x\), THE VARIETY GENERATED BY AN AI-SEMIRING OF ORDER THREE, Nonfinitely based ai-semirings with finitely based semigroup reducts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of inherently nonfinitely based semirings
• A field guide to equational logic
• Identities satisfied by a finite ring
• Finite semigroups whose varieties have uncountably many subvarieties
• Bases for equational theories of semi-groups
• Identical relations in finite groups
• A NONFINITELY BASED FINITE SEMIRING
• Equational Bases for Lattice Theories.
• Note on a simple type of algebra in which the cancellation law of addition does not hold
• TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE