A glimpse at supertropical valuation theory

Z. Izhakian; M. Knebusch; L. Rowen

A glimpse at supertropical valuation theory

Z. Izhakian, M. Knebusch, L. Rowen

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

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 hope to give easy access to ideas of a new branch of so called "supertropical algebra".

Original language	English
Pages (from-to)	131-142
Number of pages	12
Journal	Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Volume	19
Issue number	2
State	Published - 2011

Keywords

Bipotent semirings
Lattices
Monoids
Su-pervaluations
Supertropical algebra
Valuation theory

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Cite this

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title = "A glimpse at supertropical valuation theory",

abstract = "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 hope to give easy access to ideas of a new branch of so called {"}supertropical algebra{"}.",

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author = "Z. Izhakian and M. Knebusch and L. Rowen",

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AU - Izhakian, Z.

AU - Knebusch, M.

AU - Rowen, L.

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AB - 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 hope to give easy access to ideas of a new branch of so called "supertropical algebra".

KW - Bipotent semirings

KW - Lattices

KW - Monoids

KW - Su-pervaluations

KW - Supertropical algebra

KW - Valuation theory

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M3 - مقالة

SN - 1224-1784

VL - 19

SP - 131

EP - 142

JO - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

JF - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

IS - 2

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A glimpse at supertropical valuation theory

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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