Том 71
№ 11

All Issues

Arithmetic of Semigroup Semirings

Ponomarenko V.

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We define semigroup semirings by analogy with group rings and semigroup rings. We study the arithmetic properties and determine sufficient conditions under which a semigroup semiring is atomic, has finite factorization, or has bounded factorization. We also present a semigroup-semiring analog (although not a generalization) of the Gauss lemma on primitive polynomials.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 2, pp 243-266.

Citation Example: Ponomarenko V. Arithmetic of Semigroup Semirings // Ukr. Mat. Zh. - 2015. - 67, № 2. - pp. 213-229.

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