Categories of Layered Semirings

Zur Izhakian Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

Manfred Knebusch Department of Mathematics, University of Regensburg, Regensburg, Germany

Louis Rowen Department of Mathematics, Bar-Ilan University, Ramat-Gan, IsraelCorrespondence[email protected]

Abstract

We generalize the constructions of layered domains^† to layered semirings, in order to enrich the structure, and in particular to provide finite examples for applications in arithmetic. The layered category theory is extended accordingly, to cover noncancellative monoids, which are examined in their own right.

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Notes

Communicated by M. Cohen.

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Categories of Layered Semirings

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