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Upper-modular and related elements of the lattice of commutative semigroup varieties (1501.02650v2)
Published 12 Jan 2015 in math.GR
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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