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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 3, Pages 563–568
(Mi smj2441)
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This article is cited in 11 scientific papers (total in 11 papers)
Interassociativity on a free commutative semigroup
A. B. Gorbatkov Luhansk Taras Shevchenko National University, Luhansk, Ukraine
Abstract:
We describe all interassociates of a free commutative semigroup. Each interassociate of a free commutative semigroup is proved to be a variant of it or coincides with that semigroup. Conditions are found for the isomorphy of two variants of a free commutative semigroup.
Keywords:
variant of a semigroup, interassociativity, free commutative semigroup.
Received: 22.06.2012
Citation:
A. B. Gorbatkov, “Interassociativity on a free commutative semigroup”, Sibirsk. Mat. Zh., 54:3 (2013), 563–568; Siberian Math. J., 54:3 (2013), 441–445
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https://www.mathnet.ru/eng/smj2441 https://www.mathnet.ru/eng/smj/v54/i3/p563
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Abstract page: | 193 | Full-text PDF : | 69 | References: | 50 | First page: | 2 |
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