Monoid Valuations and Value Ordered Supervaluations

Zur Izhakian; Manfred Knebusch; Louis Rowen

doi:10.1080/00927872.2014.913057

Monoid Valuations and Value Ordered Supervaluations

Zur Izhakian, Manfred Knebusch, Louis Rowen

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

8 اقتباسات (Scopus)

ملخص

We complement two papers on supertropical valuation theory ([11], [12]) by providing natural examples of m-valuations (= monoid valuations), and afterwards of supervaluations and transmissions between them. These supervaluations have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings. We develop the basics of the theory of such semirings and transmissions.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	3207-3248
عدد الصفحات	42
دورية	Communications in Algebra
مستوى الصوت	43
رقم الإصدار	8
المعرِّفات الرقمية للأشياء	https://doi.org/10.1080/00927872.2014.913057
حالة النشر	نُشِر - 3 أغسطس 2015
منشور خارجيًا	نعم

الوصول إلى المستند

10.1080/00927872.2014.913057

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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title = "Monoid Valuations and Value Ordered Supervaluations",

abstract = "We complement two papers on supertropical valuation theory ([11], [12]) by providing natural examples of m-valuations (= monoid valuations), and afterwards of supervaluations and transmissions between them. These supervaluations have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings. We develop the basics of the theory of such semirings and transmissions.",

keywords = "Bipotent semirings, Lattices, Monoid valuations, Ordered supertropical semirings, Supertropical algebra, Supervaluations, Transmissive, Valuation theory, and homomorphic equivalence relations",

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

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

year = "2015",

month = aug,

day = "3",

doi = "10.1080/00927872.2014.913057",

language = "אנגלית",

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T1 - Monoid Valuations and Value Ordered Supervaluations

AU - Izhakian, Zur

AU - Knebusch, Manfred

AU - Rowen, Louis

PY - 2015/8/3

Y1 - 2015/8/3

N2 - We complement two papers on supertropical valuation theory ([11], [12]) by providing natural examples of m-valuations (= monoid valuations), and afterwards of supervaluations and transmissions between them. These supervaluations have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings. We develop the basics of the theory of such semirings and transmissions.

AB - We complement two papers on supertropical valuation theory ([11], [12]) by providing natural examples of m-valuations (= monoid valuations), and afterwards of supervaluations and transmissions between them. These supervaluations have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings. We develop the basics of the theory of such semirings and transmissions.

KW - Bipotent semirings

KW - Lattices

KW - Monoid valuations

KW - Ordered supertropical semirings

KW - Supertropical algebra

KW - Supervaluations

KW - Transmissive

KW - Valuation theory

KW - and homomorphic equivalence relations

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U2 - 10.1080/00927872.2014.913057

DO - 10.1080/00927872.2014.913057

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AN - SCOPUS:84930532319

SN - 0092-7872

VL - 43

SP - 3207

EP - 3248

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

Monoid Valuations and Value Ordered Supervaluations

ملخص

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الملفات والروابط الأخرى

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قم بذكر هذا