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arXiv · 1501.02650

Upper-modular and related elements of the lattice of commutative semigroup varieties

B. M. Vernikov
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Abstract

We completely determine upper-modular, codistributive and costandard elements in the lattice of all commutative semigroup varieties. In particular, we prove that the properties of being upper-modular and codistributive elements in the mentioned lattice are equivalent. Moreover, in the nil-case the properties of being elements of all three types turn out to be equivalent.

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B. M. Vernikov. 2015-01-12. Upper-modular and related elements of the lattice of commutative semigroup varieties. https://arxiv.org/abs/1501.02650

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