Open Access
July 2015 Prime and primary ideals in semirings
Paul Lescot
Osaka J. Math. 52(3): 721-737 (July 2015).

Abstract

We study zero divisors and minimal prime ideals in semirings, notably those of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but are able to establish a weaker version. Lastly, we study Evans' condition in this context.

Citation

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Paul Lescot. "Prime and primary ideals in semirings." Osaka J. Math. 52 (3) 721 - 737, July 2015.

Information

Published: July 2015
First available in Project Euclid: 17 July 2015

zbMATH: 1346.16046
MathSciNet: MR3370472

Subjects:
Primary: 06F05 , 08C99 , 20M12

Rights: Copyright © 2015 Osaka University and Osaka City University, Departments of Mathematics

Vol.52 • No. 3 • July 2015
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