FAITHFUL FUNCTORS FROM CANCELLATIVE CATEGORIES TO CANCELLATIVE MONOIDS WITH AN APPLICATION TO ABUNDANT SEMIGROUPS
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Publication:5703670
DOI10.1142/S0218196705002451zbMath1087.20040MaRDI QIDQ5703670
Publication date: 8 November 2005
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
primitive idempotentsinverse monoidsRees matrix semigroupscancellative monoidsabundant semigroupsadequate semigroupsample semigroupscancellative categories
General structure theory for semigroups (20M10) Free semigroups, generators and relations, word problems (20M05) Connections of semigroups with homological algebra and category theory (20M50)
Related Items (11)
Semigroups of inverse quotients. ⋮ On Ehresmann semigroups ⋮ Varieties of regular semigroups with uniquely defined inversion ⋮ Undecidability of representability as binary relations ⋮ Embedding in factorisable restriction monoids ⋮ MATRIX REPRESENTATIONS OF AMPLE SEMIGROUPS ⋮ THE FREE AMPLE MONOID ⋮ Undecidable problems for completely 0-simple semigroups. ⋮ Partial Maps with Domain and Range: Extending Schein's Representation ⋮ LEFT ADEQUATE AND LEFT EHRESMANN MONOIDS ⋮ Semigroups of straight left inverse quotients
Cites Work
- Algorithmic problems for finite groups and finite \(0\)-simple semigroups
- The uniform word problem for groups and finite Rees quotients of \(E\)-unitary inverse semigroups
- Abundant and ample straight left orders
- THE STRUCTURE OF TYPE A SEMIGROUPS
- Über die Einbettbarkeit von Kategorien in Gruppoide
- A CLASS OF RIGHT PP MONOIDS
- Zur Theorie der Gruppoide. I
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