66 citations · 325 across the 49 of their papers we have counts for
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Categories of layered semirings
Zur Izhakian, Manfred Knebusch, Louis Rowen
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 examp…
Categorical notions of layered tropical algebra and geometry
Zur Izhakian, Manfred Knebusch, Louis Rowen
This paper supplements [17], showing that categorically the layered theory is the same as the theory of ordered monoids (e.g. the max-plus algebra) used in tropical mathematics. A…
Dual Spaces and Bilinear Forms in Supertropical Linear Algebra
Zur Izhakian, Manfred Knebusch, Louis Rowen
Continuing [5], this paper investigates finer points of supertropical vector spaces, including dual bases and bilinear forms, with supertropical versions of standard classical resu…