The partially ordered monoid generated by the operators \(H, S, P_{u}, P_{f}\) on classes of algebras

DOI10.1007/s00012-010-0046-7zbMath1204.08002OpenAlexW2075387476MaRDI QIDQ993322

Boža Tasić

Publication date: 10 September 2010

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

Full work available at URL: https://doi.org/10.1007/s00012-010-0046-7

zbMATH Keywords

homomorphic imagessubalgebraspartially ordered monoidultraproductsfiltered productsoperators on classes of algebras

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Products, amalgamated products, and other kinds of limits and colimits (08B25) Other classes of algebras (08C99)

Cites Work

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• HSP\(\neq SHPS\) for metabelian groups, and related results
• On some operations on classes of algebras
• The standard semigroup of operators of a variety
• A note on homomorphic images, subalgebras and various products
• Reduced direct products
• Identical relations and decision procedures for groups
• Finiteness of Semigroups of Operators in Universal Algebra
• The inequality of ${\text{SQPS}}$ and ${\text{QSP}}$ as operators on classes of groups
• Partially ordered sets, and minimal systems of counterexamples
• Partially ordered monoids generated by operators \(H,S,P\), and \(H,S,P_f\) are isomorphic
• On the partially ordered monoid generated by the operators \(H, S, P, P_s\) on classes of algebras