Cancellable elements of the lattice of epigroup varieties
Dmitry V. Skokov
TL;DR
This paper characterizes all commutative epigroup varieties that are cancellable within the lattice of all epigroup varieties, establishing a precise criterion linking cancellability and modularity.
Contribution
It provides a complete classification of cancellable elements in the lattice of commutative epigroup varieties, revealing their equivalence to modular elements.
Findings
A commutative epigroup variety is cancellable if and only if it is modular.
Complete determination of all cancellable elements in the lattice EPI.
Verification that cancellability and modularity coincide for these 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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry