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

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

5 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	1807-1836
عدد الصفحات	30
دورية	Communications in Algebra
مستوى الصوت	43
رقم الإصدار	5
المعرِّفات الرقمية للأشياء	https://doi.org/10.1080/00927872.2013.878838
حالة النشر	نُشِر - 4 مايو 2015
منشور خارجيًا	نعم

الوصول إلى المستند

10.1080/00927872.2013.878838

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

@article{99e6757d38454f87b477a583e2067167,

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",

volume = "43",

pages = "1807--1836",

journal = "Communications in Algebra",

issn = "0092-7872",

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TY - JOUR

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

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا