The solution of an open problem on semigroup inclusion classes

Maria Leonor Araújo, Maria Teresa Araújo, Michael Kinyon

Research output: Contribution to journalArticlepeer-review

Abstract

The semigroup inclusion class I= [xyxy= xy; xyz∈ { xywz, xuyz}] is the union of two maximal subvarieties of GRB= [xyzxy= xy]. Monzo (A lattice of semigroup inclusion classes consisting of unions of varieties of generalised inflations of rectangular bands, arXiv:1411.4860) described the lattice of semigroup inclusion classes below I and asked if I is covered by GRB. Our main result is a characterization of I which makes it easy to answer Monzo’s question in the negative.

Original languageEnglish
Pages (from-to)976-981
Number of pages6
JournalSemigroup Forum
Volume103
Issue number3
DOIs
Publication statusPublished - Dec 2021

Keywords

  • Inclusion class
  • Semigroup variety

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