Prime and primary ideals in characteristic one

Abstract

We study zero divisors and minimal prime ideals in semirings 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.

References in corpus (1)

• Picard Groups and Class Groups of Monoid Schemes

Cited by in corpus (3)

• Some Remarks on Ideals of Commutative Semirings
• k-Congruences on semirings
• A Note on the Primary Decomposition of k-Ideals in Semirings