Commutative semigroups whose lattice of congruences is a chain

DOI10.24033/bsmf.1689zbMath0191.01705OpenAlexW92198033MaRDI QIDQ5584588

Takayuki Tamura

Publication date: 1969

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1969__97__369_0

zbMATH Keywords

generalized groups, semigroups

Related Items (16)

\(LC\)-commutative permutable semigroups ⋮ Classification of finite commutative semigroups for which the inverse monoid of local automorphisms is a \(\Delta\)-semigroup ⋮ On congruence lattices of nilsemigroups ⋮ Pseudosimple commutative semigroups ⋮ Weakly exponential \(\Delta\)-semigroups ⋮ FINITE NILSEMIGROUPS WITH MODULAR CONGRUENCE LATTICES ⋮ \(RC\)-commutative \(\Delta\)-semigroups ⋮ On the structure of \((m,n)\)-commutative semigroups ⋮ Permutability of congruences on commutative semigroups ⋮ Exponential \(\Delta\)-semigroups ⋮ Weakly exponential semigroups ⋮ Permutable duo semigroups ⋮ Unnamed Item ⋮ On \(RDGC_n\)-commutative permutable semigroups. ⋮ Semigroups and their lattice of congruences ⋮ Unnamed Item

Cites Work

• \(\mathfrak H\)-commutative semigroups in which each homomorphism is uniquely determined by its kernel
• Existence of greatest decomposition of a semigroup
• Another proof of a theorem concerning the greatest semilattice-decomposition of a semigroup
• Construction of Trees and Commutative Archimedean Semigroups
• Notes on commutative Archimedean semigroups, I
• Decomposability of extension and its application to finite semigroups
• Naturally Totally Ordered Commutative Semigroups
• Note on unipotent inversible semigroups
• On decompositions of a commutative semigroup
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