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Ukrainian Mathematical Journal

, Volume 67, Issue 2, pp 243–266 | Cite as

Arithmetic of Semigroup Semirings

  • V. Ponomarenko
Article
  • 35 Downloads

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.

Keywords

Group Ring Semigroup Forum Unique Factorization Great Common Divisor Commutative Semigroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • V. Ponomarenko
    • 1
  1. 1.San Diego State UniversitySan DiegoUSA

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