DUALISABILITY OF FINITE SEMIGROUPS
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Publication:3043519
DOI10.1142/S0218196703001535zbMath1046.08005MaRDI QIDQ3043519
Publication date: 6 August 2004
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
bandsmonoidsentropic algebrafinite semigroupinherently non-dualisable finite algebrasNatural duality
Varieties and pseudovarieties of semigroups (20M07) Inverse semigroups (20M18) Varieties (08B99) Representation of semigroups; actions of semigroups on sets (20M30)
Related Items (7)
Dualisability versus residual character: a theorem and a counterexample ⋮ Natural extensions and profinite completions of algebras ⋮ General algebra and its applications 2013: problem session. ⋮ A juggler's dozen of easy\(^\dag\) problems (\(^\dag\) Well, easily formulated \dots). ⋮ Natural dualities, nilpotence and projective planes ⋮ DUALIZABILITY OF GRAPHS ⋮ Dualities for quasi-varieties of bands.
Cites Work
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- Residually small varieties of semigroups
- Inherent dualisability
- Binary homomorphisms and natural dualities
- Natural dualities for quasivarieties generated by a finite commutative ring.
- A non-dualisable entropic algebra.
- Some remarks on dualisability and endodualisability
- Dualizability and graph algebras
- Subdirectly irreducible idempotent semigroups
- The Complexity of Dualisability: Three-Element Unary Algebras
- Nilpotent groups are not dualizable
- Nondualisable semigroups
- Strong duality for metacyclic groups
- The dualisability of a quasi-variety is independent of the generating algebra.
- From rectangular bands to \(k\)-primal algebras
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