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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Datum:2015
Hauptverfasser: Ponomarenko, V., Пономаренко, В.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1975
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal