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math.AC2011★ 3 cited
Supertropical Monoids: Basics, Canonical Factorization, and Lifting Ghosts to Tangibles
Zur Izhakian, Manfred Knebusch, Louis Rowen
Supertropical monoids are a structure slightly more general than the supertropical semirings, which have been introduced and used by the first and the third authors for refinements…
math.AC2011
Monoid Valuations and Value Ordered Supervaluations
Zur Izhakian, Manfred Knebusch, Louis Rowen
We complement two papers on supertropical valuation theory ([IKR1],[IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and tr…
math.AC2011
Dominance and Transmissions in Supertropical Valuation Theory
Zur Izhakian, Manfred Knebusch, Louis Rowen
This paper is a sequel of [IKR1], where we defined supervaluations on a commutative ring and studied a dominance relation between supervaluations and on ,…