Categories of Layered Semirings

Zur Izhakian, Manfred Knebusch, Louis Rowen

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We generalize the constructions of layered domains? to layered semirings, in order to enrich the structure, and in particular to provide finite examples for applications in arithmetic. The layered category theory is extended accordingly, to cover noncancellative monoids, which are examined in their own right.
Original languageEnglish
Pages (from-to)1807-1836
Number of pages30
JournalCommunications in Algebra
Volume43
Issue number5
Early online date27 Feb 2015
DOIs
Publication statusPublished - 4 May 2015

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Category Theory
Semiring
Monoids
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Keywords

  • tropical algebra
  • tropical categories
  • tropical geometry
  • tropicalization
  • vaulations
  • valued monoids

Cite this

Categories of Layered Semirings. / Izhakian, Zur; Knebusch, Manfred; Rowen, Louis.

In: Communications in Algebra, Vol. 43, No. 5, 04.05.2015, p. 1807-1836.

Research output: Contribution to journalArticle

Izhakian, Zur ; Knebusch, Manfred ; Rowen, Louis. / Categories of Layered Semirings. In: Communications in Algebra. 2015 ; Vol. 43, No. 5. pp. 1807-1836.
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