Cancellable elements of the lattices of varieties of semigroups and epigroups
V.Yu. Shaprynskii, D.V. Skokov, B.M. Vernikov
TL;DR
This paper characterizes all semigroup and epigroup varieties that are cancellable elements within their respective lattice structures, providing a complete classification.
Contribution
It offers a complete classification of cancellable elements in the lattices of semigroup and epigroup varieties, a previously unresolved problem.
Findings
Identified all cancellable semigroup varieties.
Identified all cancellable epigroup varieties.
Provided a complete lattice-theoretic characterization.
Abstract
We completely determine all semigroup [epigroup] varieties that are cancellable elements of the lattice of all semigroup [respectively epigroup] varieties.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · semigroups and automata theory