Partially ordered sets, and minimal systems of counterexamples

DOI10.1007/BF01190814zbMath0723.06002WikidataQ124968995 ScholiaQ124968995MaRDI QIDQ5895408

George M. Bergman

Publication date: 1994

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

zbMATH Keywords

meet-irreduciblesclosure under homomorphic imagesclosure under productsclosure under subalgebrashomomorphism of partially ordered semigroupsisotone map of finite partially ordered setsjoin- irreducible elementsnon-relationspartially ordered semigroups of operators on classes of algebras

Mathematics Subject Classification ID

Partial orders, general (06A06) Ordered semigroups and monoids (06F05) Other classes of algebras (08C99)

Related Items (3)

The partially ordered monoid generated by the operators \(H, S, P_{u}, P_{f}\) on classes of algebras ⋮ Operators on classes of coalgebras ⋮ $HSP\not = SHPS$ for commutative rings with identity

Cites Work

• HSP\(\neq SHPS\) for metabelian groups, and related results
• On some operations on classes of algebras
• The rank of a distributive lattice
• The standard semigroup of operators of a variety
• Finiteness of Semigroups of Operators in Universal Algebra
• Algebras Whose Congruence Lattices are Distributive.
• The inequality of ${\text{SQPS}}$ and ${\text{QSP}}$ as operators on classes of groups
• Unnamed Item

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