Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Cancellable elements of the lattice of semigroup varieties
Репозиторій DSpace/Manakin
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Cancellable elements of the lattice of semigroup varieties
Інший ID:
2010 MSC: Primary 20M07; Secondary 08B15
Посилання:
Cancellable elements of the lattice of semigroup varieties / S.V. Gusev, D.V. Skokov, B.M. Vernikov // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 34–46. — Бібліогр.: 13 назв. — англ.
Підтримка:
The work is partially supported by Russian Foundation for Basic Research (grant 17-01-00551) and by the Ministry of Education and Science of the Russian Federation (project 1.6018.2017).
Дата:
2018
Переглядів:
165
Завантажень:
66
Анотація:
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element of the lattice SEM if and only if it is a modular element of this lattice.
