Lattice-ordered abelian groups finitely generated as semirings

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369297" target="_blank" >RIV/00216208:11320/17:10369297 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Lattice-ordered abelian groups finitely generated as semirings

Original language description

A lattice-ordered group (an L-group) can naturally be viewed as a semiring. We give a full classification of (abelian) L-groups which are finitely generated as semirings by first showing that each such L-group has an order-unit so that we can use the results of Busaniche, Cabrer and Mundici. Then, we carefully analyze their construction in our setting to obtain the classification in terms of certain L-groups associated to rooted trees (Theorem 4.1)

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GJ17-04703Y" target="_blank" >GJ17-04703Y: Quadratic forms and numeration systems over number fields</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Commutative Algebra

ISSN

1939-0807

e-ISSN

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Volume of the periodical

2017

Issue of the periodical within the volume

9

Country of publishing house

US - UNITED STATES

Number of pages

26

Pages from-to

387-412

UT code for WoS article

000406771000004

EID of the result in the Scopus database

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