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arXiv · 1703.03209

Cancellable elements of the lattice of semigroup varieties

Sergey V. Gusev·Dmitry V. Skokov·Boris M. Vernikov
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Abstract

We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we prove that, for commutative varieties, the properties of being cancellable and modular elements of SEM are equivalent.

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Sergey V. Gusev, Dmitry V. Skokov, Boris M. Vernikov. 2017-03-09. Cancellable elements of the lattice of semigroup varieties. https://arxiv.org/abs/1703.03209

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