Categories of Layered Semirings

Zur Izhakian; Manfred Knebusch; Louis Rowen

doi:10.1080/00927872.2013.878838

Categories of Layered Semirings

Zur Izhakian
, Manfred Knebusch
, Louis Rowen

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

5 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	1807-1836
מספר עמודים	30
כתב עת	Communications in Algebra
כרך	43
מספר גיליון	5
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1080/00927872.2013.878838
סטטוס פרסום	פורסם - 4 מאי 2015
פורסם באופן חיצוני	כן

גישה למסמך

10.1080/00927872.2013.878838

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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title = "Categories of Layered Semirings",

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.",

keywords = "Tropical algebra, Tropical categories, Tropical geometry, Tropicalization, Valuations, Valued monoids",

author = "Zur Izhakian and Manfred Knebusch and Louis Rowen",

note = "Publisher Copyright: {\textcopyright} 2015, Taylor \& Francis Group, LLC.",

year = "2015",

month = may,

day = "4",

doi = "10.1080/00927872.2013.878838",

language = "אנגלית",

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journal = "Communications in Algebra",

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T1 - Categories of Layered Semirings

AU - Izhakian, Zur

AU - Knebusch, Manfred

AU - Rowen, Louis

PY - 2015/5/4

Y1 - 2015/5/4

N2 - 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.

AB - 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.

KW - Tropical algebra

KW - Tropical categories

KW - Tropical geometry

KW - Tropicalization

KW - Valuations

KW - Valued monoids

UR - https://www.scopus.com/pages/publications/84924184903

U2 - 10.1080/00927872.2013.878838

DO - 10.1080/00927872.2013.878838

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AN - SCOPUS:84924184903

SN - 0092-7872

VL - 43

SP - 1807

EP - 1836

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

ER -

Categories of Layered Semirings

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קבצים וקישורים אחרים

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