Completely regular semigroups as semigroups of partial transformations

DOI10.1007/BF02573653zbMath0798.20054MaRDI QIDQ1313475

Norman R. Reilly

Publication date: 9 November 1994

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135296

zbMATH Keywords

equivalence relationswreath productscompletely simple semigroupsstrong semilatticeMalcev productsemigroup of partial transformationsvariety of completely regular semigroupsSchützenberger representationcompletely regular semigroups of partial transformationsPetrich's representationright translation

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07) Regular semigroups (20M17) Mappings of semigroups (20M15) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (3)

Bounds on the variety generated by completely regular syntactic monoids from finite prefix codes ⋮ Fuzzy \(\varepsilon\)-subgroups. ⋮ REGULAR ELEMENTS AND GREEN'S RELATIONS IN GENERALIZED TRANSFORMATION SEMIGROUPS

Cites Work

• Operators related to E-disjunctive and fundamental completely regular semigroups
• On the word problem for free bands of groups and for free objects in some other varieties of completely regular semigroups
• On right normal right inverse semigroups
• Bounds on the variety generated by completely regular syntactic monoids from finite prefix codes
• Semigroups admitting relative inverses
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