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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2013 Volume 54, Number 3, Pages 563–568 (Mi smj2441)

This article is cited 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.

UDC: 512.532.3

Received: 22.06.2012


 English version:
Siberian Mathematical Journal, 2013, 54:3, 441–445

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