On finitely based groups and nonfinitely based quasivarieties

DOI10.1006/jabr.1997.7470zbMath0909.20017OpenAlexW2070692996MaRDI QIDQ1265546

K. Appert

Publication date: 26 January 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7470

zbMATH Keywords

varieties of groupsquasivarietiesfinite bases of identitiesstrictly finitely based varieties

Mathematics Subject Classification ID

Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15)

Related Items (8)

Quasi-identities of finite semigroups and symbolic dynamics ⋮ Algebras from finite group actions and a question of Eilenberg and Schützenberger ⋮ Unary enhancements of inherently non-finitely based semigroups. ⋮ Semigroups embeddable in hyperplane face monoids. ⋮ Flat algebras and the translation of universal Horn logic to equational logic ⋮ Finite basis problems and results for quasivarieties ⋮ Quasiequational Theories of Flat Algebras ⋮ Relatively inherently nonfinitely q-based semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 2-element matrices
• Strongly finitely based equational theories
• The structure of decidable locally finite varieties
• Characterizing Mal'cev conditions
• Definable principal congruences in varieties of groups and rings
• Quasi-identities of finite semigroups and symbolic dynamics
• Identical relations in finite groups
• Finite Basis Theorems for Relatively Congruence-Distributive Quasivarieties
• The structure of finite algebras
• Inherently Nonfinitely Based Solvable Algebras
• Varieties of groups
• Heterogeneous algebras

This page was built for publication: On finitely based groups and nonfinitely based quasivarieties