Relatively congruence modular quasivarieties of modules

DOI10.1007/978-3-319-74772-9_8zbMath1459.08008arXiv1509.03809OpenAlexW2259843004MaRDI QIDQ4586418

Keith A. Kearnes

Publication date: 13 September 2018

Published in: Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03809

zbMATH Keywords

quasivarietyrelatively congruence distributivefinitely axiomatizable quasivarietyrelatively congruence modularquasivarieties of modules

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10) Quasivarieties (08C15) Equational classes, universal algebra in model theory (03C05)

Related Items (1)

Commutative Rings Whose Principal Ideals Have Unique Generators

Cites Work

• Finite equational bases for congruence modular varieties
• Finite equational bases for finite algebras in a congruence-distributive equational class
• Finite basis problems and results for quasivarieties
• A finite basis theorem for difference-term varieties with a finite residual bound
• Finite Basis Theorems for Relatively Congruence-Distributive Quasivarieties
• The weak extension property and finite axiomatizability for quasivarieties
• Commutator Theory for Relatively Modular Quasivarieties
• The Relationship Between Two Commutators
• A finite basis theorem for residually finite, congruence meet-semidistributive varieties

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