Geodesic
Cancellable elements of the lattice of epigroup varieties
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2018), pp. 59-67

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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: epigroup, variety, cancellable element of a lattice, modular element of a lattice. 
@article{IVM_2018_9_a5,
     author = {D. V. Skokov},
     title = {Cancellable elements of the lattice of epigroup varieties},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {59--67},
     publisher = {mathdoc},
     number = {9},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_9_a5/}
}
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D. V. Skokov. Cancellable elements of the lattice of epigroup varieties. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2018), pp. 59-67. http://geodesic.mathdoc.fr/item/IVM_2018_9_a5/