Cancellable elements of the lattice of epigroup varieties

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.

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