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Upper-modular and related elements of the lattice of commutative semigroup varieties |
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| Authors: | B.?M.?Vernikov author-information" > author-information__contact u-icon-before" > mailto:bvernikov@gmail.com" title=" bvernikov@gmail.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | 1.Institute of Mathematics and Computer Science,Ural Federal University,Ekaterinburg,Russia |
| 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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