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 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Russian |
| Veröffentlicht: |
Інститут математики НАН України
2015
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/165465 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Arithmetic of Semigroup Semirings / V. Ponomarenko // Український математичний журнал. — 2015. — Т. 67, № 2. — С. 213–229. — Бібліогр.: 15 назв. — рос. |