Abstract
We completely determine all cancellable elements in the lattice \(\mathbb {OC}\) of all overcommutative semigroup varieties. In particular, we prove that an overcommutative semigroup variety is a cancellable element of the lattice \(\mathbb {OC}\) if and only if it is a neutral element of this lattice.
Both V. Yu. Shaprynskiı and B. M. Vernikov are supported by the Ministry of Science and Higher Education of the Russian Federation (project FEUZ-2020-0016). V. Yu. Shaprynskiı is supported also by Russian Foundation for Basic Research (grant 18-31-00443).
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Shaprynskiı, V.Y., Vernikov, B.M. (2021). Cancellable Elements in the Lattice of Overcommutative Semigroup Varieties. In: Romeo, P.G., Volkov, M.V., Rajan, A.R. (eds) Semigroups, Categories, and Partial Algebras. ICSAA 2019. Springer Proceedings in Mathematics & Statistics, vol 345. Springer, Singapore. https://doi.org/10.1007/978-981-33-4842-4_14
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