On regular and regularized varieties

DOI10.1007/BF01230618zbMath0619.08004OpenAlexW1992285743MaRDI QIDQ1089370

Anna B. Romanowska

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01230618

zbMATH Keywords

regularizationequational basesirregular varietyPłonka sumsregular identitiescoherent Lallement sumsregularized varieties

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Structure theory of algebraic structures (08A05) Products, amalgamated products, and other kinds of limits and colimits (08B25)

Related Items (7)

Semilattice-based dualities ⋮ Semilattice sums of algebras and Mal'tsev products of varieties ⋮ Introducing Boolean Semilattices ⋮ Algebraic analysis of demodalised analytic implication ⋮ Subquasivarieties of regularized varieties ⋮ On the structure of semilattice sums ⋮ Commutative idempotent groupoids and the constraint satisfaction problem.

Cites Work

• On regular identities
• Characterizing Mal'cev conditions
• Demi-groupes réguliers
• The lattice of semigroup varieties
• Constructing and Reconstructing of Algebras
• On connections between the decomposition of an algebra into sums of direct systems of subalgebras
• On a method of construction of abstract algebras
• On equational classes of abstract algebras defined by regular equations
• Primitive classes of algebras with unary and nullary operations
• The Lattice of Equational Classes of Algebras with One Unary Operation
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