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Categories of layered semirings

2012/07/15 by Izhakian, Zur, Knebusch, Manfred, Rowen, Louis
#Category Theory (math.CT) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1207.3488

Abstract

We generalize the constructions of [17,19] to layered semirings, in order to enrich the structure and provide finite examples for applications in arithmetic (including finite examples). The layered category theory of [19] is extended accordingly, to cover noncancellative monoids.

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