On some operations on classes of algebras

DOI10.1007/BF02945045zbMath0272.08006MaRDI QIDQ759050

Don Pigozzi

Publication date: 1972

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

Mathematics Subject Classification ID

Varieties (08B99) Algebraic structures (08Axx)

Related Items

Operator properties of congruence permutable varieties with strongly definable principal congruences., The varieties defined by \(P\)-compatible identities of modular ortholattices, A Mathematical Life, Structural and universal completeness in algebra and logic, The radical-annihilator monoid of a ring, Partially ordered sets, and minimal systems of counterexamples, Expanding quasi-MV algebras by a quantum operator, Partially ordered sets, and minimal systems of counterexamples, HSP\(\neq SHPS\) for metabelian groups, and related results, XI Latin American Symposium on Mathematical Logic, The partially ordered monoid generated by the operators \(H, S, P_{u}, P_{f}\) on classes of algebras, Operators on classes of coalgebras, On the partially ordered monoid generated by the operators \(H, S, P, P_s\) on classes of algebras, Distributive lattices with an additional unary operation, $HSP\not = SHPS$ for commutative rings with identity, Structure Theory for Equational Classes Generated by Quasi-Primal Algebras, \(HSP\neq SHPS\) for metabelian representable \(l\)-groups

Cites Work

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• Varieties of implicative semilattices
• The standard semigroup of operators of a variety
• Varieties of groups
• Joins and Direct Products of Equational Classes
• Independence and direct factorization of universal algebras
• The inequality of ${\text{SQPS}}$ and ${\text{QSP}}$ as operators on classes of groups
• The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and Amalgamation