English

Cancellable elements of the lattice of epigroup varieties

Group Theory 2018-03-28 v1

Abstract

We completely determine all commutative epigroup varieties that are cancellable elements of the lattice EPI of all epigroup varieties. In particular, we verify that a commutative epigroup variety is a cancellable element of the lattice EPI if and only if it is a modular element of this lattice.

Keywords

Cite

@article{arxiv.1803.09925,
  title  = {Cancellable elements of the lattice of epigroup varieties},
  author = {Dmitry V. Skokov},
  journal= {arXiv preprint arXiv:1803.09925},
  year   = {2018}
}

Comments

10 pages. arXiv admin note: substantial text overlap with arXiv:1703.03209