On the power pseudovariety \(\mathbf{PCS}\).

DOI10.5565/PUBLMAT_56212_08zbMath1306.20058arXiv1202.5511MaRDI QIDQ2248226

Karl Auinger

Publication date: 30 June 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5511

zbMATH Keywords

\(\mathcal J\)-trivial semigroupsbases of pseudoidentitiescompletely simple semigroupssemidirect products of pseudovarietiespower semigroupsMal'cev products of pseudovarietiespower pseudovarietiespseudovarieties of finite semigroupsblock groups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (1)

About the power pseudovariety \(\mathbf{PCS}\)

Cites Work

• Categories as algebra: An essential ingredient in the theory of monoids
• A note on the power semigroup of a completely simple semigroup.
• Some results on the dot-depth hierarchy
• Profinite categories and semidirect products
• Eilenberg's theorem for positive varieties of languages
• Profinite semigroups, Mal'cev products, and identities
• Constructing divisions into power groups
• INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES
• Pseudovarieties, Regular Semigroups and Semidirect Products
• On the extension problem for partial permutations
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