Extensions of Algebraic Systems

DOI10.2307/1999536zbMath0537.08005OpenAlexW4254856514MaRDI QIDQ3322164

Awad A. Iskander

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999536

zbMATH Keywords

extensionsexpansionsCartesian productssubalgebrasultraproductsMal'cev multiplicationidempotent varietiesMal'cev type conditionunion of blockscongruence regular varietiesproducts of classes of algebraic systemsweakly congruence permutable varieties

Mathematics Subject Classification ID

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)

Mal'tsev products of varieties. I ⋮ Semilattice sums of algebras and Mal'tsev products of varieties ⋮ Mal'tsev products of varieties. II. ⋮ Universal algebras ⋮ Decompositions of universal algebras by idempotent algebras

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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