On the lattice of varieties of completely simple semigroups

DOI10.1007/BF02194314zbMath0405.20052MaRDI QIDQ1257104

V. V. Rasin

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/134311

zbMATH Keywords

Abelian C.S. SemigroupsCompletely Regular SemigroupFully Invariant CongruencesLattice of Varieties of Completely Simple SemigroupsVariety of All Completely Simple SemigroupsVariety of Rectangular Bands

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07)

Related Items (21)

All Varieties of Central Completely Simple Semigroups ⋮ Varieties generated by free completely simple semigroups ⋮ An infinite order operator on the lattice of varieties of completely regular semigroups ⋮ On a question of Pollák and Volkov regarding hereditarily finitely based identities. ⋮ On the varieties of Cliffordian semigroups ⋮ The wreath product of atoms of the lattice of semigroup varieties ⋮ On the varieties of completely regular semigroups ⋮ The \(\mathbf G\)-exponent of a pseudovariety of semigroups ⋮ Subdirect decompositions of the lattice of varieties of completely regular semigroups ⋮ The join of the varieties of strict inverse Semigroups and rectangular bands ⋮ Locally commutative power semigroups and counting factors of words ⋮ Completely simple semigroups with nilpotent structure groups. ⋮ Bases of identities for semigroups of bounded rank transformations of a set. ⋮ Elementary theories of completely simple semigroups ⋮ On algebraic geometry over completely simple semigroups ⋮ On singleton kernel classes in the lattice of varieties of completely regular semigroups ⋮ Near varieties of idempotent generated completely simple semigroups ⋮ Completely simple semigroups: free products, free semigroups and varieties ⋮ Minimal non-permutative pseudovarieties of semigroups. III ⋮ Representations of lattices via neutral elements ⋮ Injectives in varieties of completely simple semigroups

Cites Work

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• Varieties of orthodox bands of groups
• The lattice of equational classes of idempotent semigroups
• All Varieties of Bands I

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