On naturally ordered abundant semigroups with an adequate monoid transversal

DOI10.1155/2019/9867312zbMath1453.06013OpenAlexW2955203807WikidataQ127558682 ScholiaQ127558682MaRDI QIDQ2296629

Wei Chen

Publication date: 18 February 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/9867312

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ordered semigroups and monoids (06F05)

Cites Work

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• Abundant semigroups with a multiplicative type \(A\) transversal
• Quasi-orthodox semigroups with inverse transversals
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• Lattices and ordered algebraic structures
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• Naturally ordered regular semigroups with an inverse monoid transversal.
• A CLASSIFICATION OF INVERSE TRANSVERSALS
• Adequate Semigroups
• On Adequate Transversals
• The natural partial order on an abundant semigroup
• Abundant Semigroups
• Quasi-adequate semigroups
• Idempotent-connected abundant semigroups
• Naturally ordered regular semigroups with a greatest idempotent
• IDEMPOTENT-CONNECTED ABUNDANT SEMIGROUPS WHICH ARE DISJOINT UNIONS OF QUASI-IDEAL ADEQUATE TRANSVERSALS
• Abundant Semigroups with Q-adequate Transversals and Some of Their Special Cases
• Amenable orders associated with inverse transversals

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