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Categories of layered semirings

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Author(s): Zur Izhakian , Manfred Knebusch , Louis Rowen

Publication date Created: 15 July 2012

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Abstract

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 examples). The layered category theory of [19] is extended accordingly, to cover noncancellative monoids.

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Most cited references 9

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Tropical discriminants

Alicia Dickenstein, Eva Feichtner, Bernd Sturmfels (2007)

0 comments Cited 46 times – based on 0 reviews      Review now

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Tropical Arithmetic and Matrix Algebra

Zur Izhakian (2009)

0 comments Cited 38 times – based on 0 reviews      Review now

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Maslov dequantization, idempotent and tropical mathematics: A brief introduction

G. Litvinov (2007)

0 comments Cited 28 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 15 July 2012

Article

ArXiV ID: 1207.3488

SO-VID: 847f15a5-a294-48ad-976d-e96c84fbacd8

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Comments 23 pages

Categories math.RA math.CT

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