Conditions of modularity of the congruence lattice of an act over a rectangular band

DOI10.1070/IM8869zbMath1457.20049OpenAlexW2974151398MaRDI QIDQ5112466

Aigul' R. Simakova, A. M. Pryanichnikov, I. B. Kozhukhov

Publication date: 29 May 2020

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8869

zbMATH Keywords

congruence latticemodular latticerectangular bandact over semigroup

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Lattice ideals, congruence relations (06B10) Modular lattices, Desarguesian lattices (06C05) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Acts over semigroups, \(S\)-acts over a well-ordered monoid with modular congruence lattice

Cites Work

• Semigroups and their lattice of congruences
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• Algebras whose equivalence relations are congruences
• Groups whose lattices of normal subgroups are distributive
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