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math.AC2010★ 3 cited
A Glimpse at Supertropical Valuation Theory
Zur Izhakian, Manfred Knebusch, Louis Rowen
We give a short tour through major parts of a recent long paper [IKR1] on supertropical valuation theory, leaving aside nearly all proofs (to be found in [IKR1]). In this way we ho…
math.AC2010
Supertropical linear algebra
Zur Izhakian, Manfred Knebusch, Louis Rowen
The objective of this paper is to lay out the algebraic theory of supertropical vector spaces and linear algebra, utilizing the key antisymmetric relation of ``ghost surpasses.''Sp…
math.AC2010
Supertropical semirings and supervaluations
Zur Izhakian, Manfred Knebusch, Louis Rowen
We interpret a valuation on a ring as a map into a so called bipotent semiring (the usual max-plus setting), and then define a \textbf{supervaluation} …