Axioms for function semigroups with agreement quasi-order.

DOI10.1007/s00012-011-0152-1zbMath1238.20071OpenAlexW1988280807MaRDI QIDQ647315

Timothy Stokes

Publication date: 23 November 2011

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

Full work available at URL: https://doi.org/10.1007/s00012-011-0152-1

zbMATH Keywords

transformation semigroupsaxiomsorder idealspartial transformationsquasi-orders

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Ordered semigroups and monoids (06F05) Inverse semigroups (20M18) Axiomatics and elementary properties of groups (20A05)

Related Items (2)

Rings with kernel inclusion quasiorder. ⋮ Groups with fix-set quasi-order

Cites Work

• The relation of semiadjacency on \(\cap \)-semigroups of transformations
• Comparison semigroups and algebras of transformations.
• The algebra of functions
• The algebra of functions. II
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• The algebra of functions. III
• Guarded and banded semigroups.
• Function systems
• Relation algebras and function semigroups
• Partial Maps with Domain and Range: Extending Schein's Representation
• Restriction Semigroups and Inductive Constellations
• Difference semigroups
• Lectures on semigroups of transformations
• Equality algebras
• Inverse Monoids With a Natural Semilattice Ordering
• Representations of Inverse Semi-Groups
• SEMIGROUPS WITH if–then–else AND HALTING PROGRAMS
• An invitation to \(C\)-semigroups
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