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dc.contributor.author
Menni, Matías
dc.date.available
2024-07-04T10:40:43Z
dc.date.issued
2023-11
dc.identifier.citation
Menni, Matías; Positive rigs; De Gruyter; Forum Mathematicum; 11-2023; 1-17
dc.identifier.issn
0933-7741
dc.identifier.uri
http://hdl.handle.net/11336/238997
dc.description.abstract
A positive rig is a commutative and unitary semi-ring A such that 1+x" role="presentation">1+x is invertible for every x∈A" role="presentation">x∈A .We show that the category of positive rigs shares many properties with that of K-algebras for a (non-algebraically closed) field K.In particular, it is coextensive and, although we do not have an analogue of Hilbert’s basis theorem for positive rigs,we show that every finitely presentable positive rig is a finite direct product of directly indecomposable ones.We also describe free positive rigs as rigs of rational functions with non-negative rational coefficients, and we give a characterization of the positive rigs with a unique maximal ideal.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
De Gruyter
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Extensive categories
dc.subject
Rig Geometry
dc.subject
Commutative Algebra
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Positive rigs
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-07-01T10:15:43Z
dc.journal.pagination
1-17
dc.journal.pais
Alemania
dc.description.fil
Fil: Menni, Matías. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.journal.title
Forum Mathematicum
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/forum-2022-0271/html
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1515/forum-2022-0271
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