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math.GRApr 23, 2022
3
citations (OpenAlex)
authors
  • Sergey V. Gusev
institutions
  • Ural Federal University
arXiv abstractPDF
paper

Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive

arXiv:2204.11055 · doi:10.1007/s00605-022-01717-x

Abstract

We completely classify all varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive.

arXiv comment23 pages

References in corpus (9)

  • Chain varieties of monoids
  • From A to B to Z
  • Varieties of monoids with complex lattices of subvarieties
  • A new example of a limit variety of monoids
  • Classification of limit varieties of J-trivial monoids
  • Two weaker variants of congruence permutability for monoid varieties
  • Finitely based sets of 2-limited block-2-simple words
  • Cancellable elements of the lattice of monoid varieties
  • Infinite irredundant equational axiomatisability for a finite monoid

Cited by in corpus (3)

  • The lattice of varieties of monoids
  • Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive
  • Varieties of monoids with a distributive subvariety lattice
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