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math.AC2015
Projective modules over polyhedral semirings
Andrew W. Macpherson
I classify projective modules over idempotent semirings that are free on a monoid. The analysis extends to the case of the semiring of convex, piecewise-affine functions on a polyh…
math.AC2015★ 2 cited
On the difference between `tropical functions' and real-valued functions
Andrew W. Macpherson
I introduce the concept of integral closure for elements and ideals in idempotent semirings, and establish how it corresponds to its namesake in commutative algebra. In the case of…