Abstract
As in the case of rings, an ideal I of a semiring R is prime if and only if whenever H K ⊆ I, for ideals H and K of R, we must have either H ⊆ I or K ⊆ I. The set of all prime ideals of a semiring R is called the spectrum of R and will be denoted by spec(R).
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© 1999 Springer Science+Business Media Dordrecht
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Golan, J.S. (1999). Prime and Semiprime Ideals in Semirings. In: Semirings and their Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9333-5_7
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DOI: https://doi.org/10.1007/978-94-015-9333-5_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5252-0
Online ISBN: 978-94-015-9333-5
eBook Packages: Springer Book Archive