Semigroups of left quotients: existence, straightness and locality.

DOI10.1016/S0021-8693(03)00282-5zbMath1043.20029arXivmath/0209252MaRDI QIDQ1408754

Victoria Gould

Publication date: 25 September 2003

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

Full work available at URL: https://arxiv.org/abs/math/0209252

zbMATH Keywords

orderslocalitysemigroups of left quotientsgroup inversesstraightness

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Regular semigroups (20M17)

Related Items (8)

On \((E,\widetilde{\mathcal {H}}_E)\)-abundant semigroups and their subclasses ⋮ Semigroups of inverse quotients. ⋮ Abundant and ample straight left orders ⋮ Independence algebras, basis algebras and semigroups of quotients ⋮ Generalized Green'S Equivalences on the Subsemigroups of the Bicyclic Monoid ⋮ Semigroups of Left Quotients—The Layered Approach ⋮ Semigroups of straight left inverse quotients ⋮ Group-regular rings

Cites Work

• Completely 0-simple semigroups of quotients
• Cancellative orders
• Abundant and ample straight left orders
• Orders and straight left orders in completely regular semigroups
• Left orders in regular ℋ-Semigroups II
• Abundant Semigroups
• STRAIGHT LEFT ORDERS IN RINGS
• Semigroups of Left Quotients—The Layered Approach
• Regular ω-semigroups
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