English

Cancellable elements in the lattice of overcommutative semigroup varieties

Group Theory 2020-04-30 v2

Abstract

We completely determine all cancellable elements in the lattice OC of overcommutative semigroup varieties. In particular, we prove that an overcommutative semigroup variety is a cancellable element of the lattice OC if and only if it is a neutral element of this lattice

Cite

@article{arxiv.1902.04576,
  title  = {Cancellable elements in the lattice of overcommutative semigroup varieties},
  author = {Vyacheslav Yu. Shaprynskii and Boris M. Vernikov},
  journal= {arXiv preprint arXiv:1902.04576},
  year   = {2020}
}

Comments

8 pages. Compared with the previous version, we fix a number of typos and updated the item [6] in References. arXiv admin note: text overlap with arXiv:0909.4388

R2 v1 2026-06-23T07:39:09.216Z