Extensions of Algebraic Systems
DOI10.2307/1999536zbMath0537.08005OpenAlexW4254856514MaRDI QIDQ3322164
Publication date: 1984
Full work available at URL: https://doi.org/10.2307/1999536
extensionsexpansionsCartesian productssubalgebrasultraproductsMal'cev multiplicationidempotent varietiesMal'cev type conditionunion of blockscongruence regular varietiesproducts of classes of algebraic systemsweakly congruence permutable varieties
Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Congruence modularity, congruence distributivity (08B10) Equational classes, universal algebra in model theory (03C05) Products, amalgamated products, and other kinds of limits and colimits (08B25) Axiomatic model classes (08C10)
Related Items (5)
Cites Work
- Cylindric algebras. Part I. With an introductory chapter: General theory of algebras. 2nd printing
- Sums of finitely based lattice varieties
- Regularity and modularity of congruences
- Characterizing Mal'cev conditions
- Relatively free products in regular varieties
- On \(n\)-permutable congruences
- Kongruenzklassengeometrien
- Implication algebras are 3-permutable and 3-distributive
- Product of Ring Varieties and Attainability
- Algebras Whose Congruence Lattices are Distributive.
- Two Mal'cev-type theorems in universal algebra
- Equational Bases and Nonmodular Lattice Varieties
- On the determining of the form of congruences in abstract algebras with equationally definable constant elements
- Extensions of Semigroups
- On the representation of lattices
- An Extension Theory for Rings
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