Arithmetic of Semigroup Semirings

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 (altho...

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Bibliographic Details
Date:2015
Main Authors: Ponomarenko, V., Пономаренко, В.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1975
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal