Using filters to describe congruences and band congruences of semigroups.

DOI10.1007/s00233-011-9330-xzbMath1254.20050OpenAlexW2111332301MaRDI QIDQ766193

Zsófia Juhász, Alexei Vernitski

Publication date: 23 March 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-011-9330-x

zbMATH Keywords

semilattice congruenceslattices of congruencespreordersquasiordersband congruencesfilters in semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Combinatorics of partially ordered sets (06A07) Subalgebras, congruence relations (08A30)

Related Items (3)

Left and right negatively orderable semigroups and a one-sided version of Simon's theorem ⋮ Semigroups with operation-compatible Green's quasiorders ⋮ Left and right negatively orderable semigroups where every element has a left and a right identity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The lattice of positive quasi-orders on a semigroup
• Positive implicative ordered filters of implicative semigroups
• Semilattice decompositions of semigroups revisited
• On ideals of implicative semigroups
• Some results on ordered filters of implicative semigroups
• On the distributivity of the lattice of filters of a groupoid
• Filters in (Quasiordered) Semigroups and Lattices of Filters
• The maximal semilattice decomposition of a semigroup

This page was built for publication: Using filters to describe congruences and band congruences of semigroups.