The lattice of congruences on direct products of cyclic semigroups and certain other semigroups

DOI10.1017/S0308210500012919zbMath0524.20038MaRDI QIDQ3037670

D. C. Trueman

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

congruence latticessemimodularitydirectly indecomposable latticedirect products of cyclic semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30) Mappings of semigroups (20M15)

Related Items (4)

Lattices of congruences on free finitely generated commutative semigroups and direct products of cyclic monoids ⋮ Semigroups and their lattice of congruences. II ⋮ Ideal nil-extensions of semigroups with semimodular congruence lattices ⋮ The one-block property in varieties of semigroups

Cites Work

• Theory of equivalence relations
• Finite direct products of finite cyclic semigroups and their characterization

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