Categories of Layered Semirings
Zur Izhakian, Manfred Knebusch, Louis Halle Rowen · Communications in Algebra · 2015
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.