Geodesic
Distributive and neutral elements of the lattice of commutative semigroup varieties
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 67-79

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We completely determine commutative semigroup varieties that are distributive, standard or neutral elements of the lattice of all commutative semigroup varieties. In particular, it turns out that the properties of being a distributive element and of being a standard element in this lattice are equivalent.
Keywords: semigroup, variety, lattice, distributive element, standard element.
Mots-clés : neutral element 
@article{IVM_2011_7_a7,
     author = {V. Yu. Shaprynskii},
     title = {Distributive and neutral elements of the lattice of commutative semigroup varieties},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {67--79},
     publisher = {mathdoc},
     number = {7},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_7_a7/}
}
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V. Yu. Shaprynskii. Distributive and neutral elements of the lattice of commutative semigroup varieties. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 67-79. http://geodesic.mathdoc.fr/item/IVM_2011_7_a7/