Algebras from finite group actions and a question of Eilenberg and Schützenberger

DOI10.1016/j.jalgebra.2023.05.014arXiv2212.00858MaRDI QIDQ6169073

Salma Shaheen, Ross Willard

Publication date: 11 July 2023

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

Full work available at URL: https://arxiv.org/abs/2212.00858

zbMATH Keywords

identitiesgroup actionfinite algebrainherently nonfinitely based

Mathematics Subject Classification ID

Varieties (08B99) Representation of semigroups; actions of semigroups on sets (20M30) Heterogeneous algebras (08A68)

Cites Work

• Basic questions for general algebras
• Nonfinitely based three-element idempotent groupoids
• A four-element algebra whose identities are not finitely based
• The structure of decidable locally finite varieties
• Characterizing Mal'cev conditions
• On pseudovarieties
• On finitely based groups and nonfinitely based quasivarieties
• Identities satisfied by a finite ring
• Identical relations in finite groups
• EQUATIONAL COMPLEXITY OF THE FINITE ALGEBRA MEMBERSHIP PROBLEM
• Inherently Nonfinitely Based Solvable Algebras
• Two notes on Rankin's book on the modular group
• TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE
• Algebras, Lattices, Varieties
• Heterogeneous algebras
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