Flat unars: the primal, the semi-primal and the dualisable
type: Item
instance of: scholarly article
title: Flat unars: the primal, the semi-primal and the dualisable
zbMATH Open document ID: 1207.08001
author: Brian A. Davey
author: Jane G. Pitkethly
author: D. L. Rifqui
author: David M. Clark
published in: Algebra Universalis
publication date: 2010-11-22T00:00:00Z
review text: A flat unar is a semilattice of height one with an additional unary operation. In the paper, the primal, semi-primal and dualisable finite flat unars are characterized. A useful characterization of primality in general is given using an array of techniques from the theory of natural dualities.
reviewed by: Radomír Halaš
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 06A12
Mathematics Subject Classification ID: 08C20
zbMATH DE Number: 5818036
zbMATH Keywords: natural duality
zbMATH Keywords: semilattice
zbMATH Keywords: primal
zbMATH Keywords: semi-primal
zbMATH Keywords: dualisable
describes a project that uses: UACalc
MaRDI profile type: Publication
full work available at URL: s00012-010-0080-5
OpenAlex ID: W2132832359
cites work: Q4220406
cites work: Binary homomorphisms and natural dualities
cites work: Natural dualities for quasivarieties generated by a finite commutative ring.
cites work: Natural dualities for semilattice-based algebras
cites work: Q4944762
cites work: Dualisability versus residual character: a theorem and a counterexample
cites work: Q3313919
cites work: The dualisability of a quasi-variety is independent of the generating algebra.
cites work: The Pontryagin duality of compact O-dimensional semilattices and its applications
cites work: On the topological duality for primal algebra theory
cites work: Full duality among graph algebras and flat graph algebras
cites work: Q4896512
cites work: THE RESIDUAL BOUNDS OF FINITE ALGEBRAS
cites work: THE RESIDUAL BOUND OF A FINITE ALGEBRA IS NOT COMPUTABLE
cites work: TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE
cites work: Recursive inseparability for residual bounds of finite algebras
cites work: Q4432126
cites work: Dualisability. Unary algebras and beyond
cites work: Some remarks on dualisability and endodualisability
cites work: The Theory of Representation for Boolean Algebras
cites work: Eine Charakterisierung funktional vollständiger Algebren
cites work: Q4152589
cites work: Natural duality via a finite set of relations
DOI: 10.1007/S00012-010-0080-5
description: scientific article; zbMATH DE number 5818036