Split orthodox semigroups

DOI10.1016/0021-8693(78)90118-7zbMath0391.20043OpenAlexW2041017430MaRDI QIDQ1251296

T. S. Blyth, Donald B. McAlister

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90118-7

zbMATH Keywords

Band of IdempotentsFinest Inverse Semigroup CongruenceOrdered Orthodox Semigroups With Greatest IdempotentSplit Ordered Orthodox SemigroupsStructure Theorem for Split Amenably Ordered Orthodox SemigroupsStructure Theorem for Split Orthoddox Semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10)

Related Items (27)

Maximum idempotents in naturally ordered regular semigroups ⋮ ORTHODOX TRANSVERSALS OF REGULAR SEMIGROUPS ⋮ Naturally ordered regular semigroups with a greatest idempotent ⋮ Naturally ordered orthodox dubreil-jacotin semigroups ⋮ \(\lambda\)-semidirect products of inverse monoids are weakly Schreier extensions ⋮ Retracted article: Varieties of bands with a semilattice transversal. ⋮ Free orthodox semigroups and free bands with inverse transversals. ⋮ Amenably ordered inverse semigroups ⋮ Identities for a Class of Regular Unary Semigroups ⋮ Construction of regular semigroups with inverse transversals ⋮ Conditions for strong Morita equivalence of partially ordered semigroups ⋮ Adequate Transversals of Quasi-Adequate Semigroups ⋮ Regular semigroups with a split map ⋮ Perfect elements in Dubreil-Jacotin regular semigroups ⋮ THE ZELEZNIKOW PROBLEM ON A CLASS OF ADDITIVELY IDEMPOTENT SEMIRINGS ⋮ INVERSE TRANSVERSALS ARE MUTUALLY ISOMORPHIC ⋮ Abundant semigroups with a multiplicative type \(A\) transversal ⋮ Naturally ordered regular semigroups with an inverse monoid transversal. ⋮ On naturally ordered regular semigroups with biggest idempotents ⋮ Free split bands. ⋮ On the construction of a class of abundant semigroups ⋮ Regular semigroups with a multiplicative inverse transversal ⋮ On the construction of a class of regular semigroups ⋮ A note on regular semigroups with inverse transversals ⋮ Left inverse semigroups with inverse transversals ⋮ Congruences on split quasi-adequate semigroups. ⋮ Split quasi-adequate semigroups.

Cites Work

• Unnamed Item
• Regular semigroups whose idempotents satisfy permutation identities
• 21.—The Structure of certain Ordered Regular Semigroups
• On a class of Dubreil-Jacotin regular semigroups and a construction of Yamada
• UNIFORM SEMILATTICES AND BISIMPLE INVERSE SEMIGROUPS
• On regular semigroups whose idempotents form a subsemigroup
• Almost commutative bands

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