Prime and Semiprime Ideals in Semirings

Jonathan S. Golan
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Jonathan S. Golan: University of Haifa

Chapter 7 in Semirings and their Applications, 1999, pp 85-94 from Springer

Abstract: 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).

Date: 1999
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DOI: 10.1007/978-94-015-9333-5_7

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