• Title/Summary/Keyword: polynomial semiring

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On Partitioning Ideals of Semirings

  • Gupta, Vishnu;Chaudhari, Jayprakash Ninu
    • Kyungpook Mathematical Journal
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    • v.46 no.2
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    • pp.181-184
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    • 2006

  • We prove the following results: (1) Let R be a strongly euclidean semiring. Then an ideal A of $R_{n{\times}n}$ is a partitioning ideal if and only if it is a subtractive ideal. (2) A monic ideal M of R[$x$], where R is a strongly euclidean semiring, is a partitioning ideal if and only if it is a subtractive ideal.

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