Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/111998
DC Field | Value | Language |
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dc.contributor.author | Barreiro, Elisabete | - |
dc.contributor.author | Calderón, Antonio J. | - |
dc.contributor.author | Navarro, Rosa M. | - |
dc.contributor.author | Sánchez, José M. | - |
dc.date.accessioned | 2024-01-18T11:43:38Z | - |
dc.date.available | 2024-01-18T11:43:38Z | - |
dc.date.issued | 2022-02-25 | - |
dc.identifier.issn | 03930440 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/111998 | - |
dc.description | arXiv admin note: substantial text overlap with arXiv:1706.07084 | pt |
dc.description.abstract | We introduce the class of graded Lie-Rinehart algebras as a natural generalization of the one of graded Lie algebras. For $G$ an abelian group, we show that if $L$ is a tight $G$-graded Lie-Rinehart algebra over an associative and commutative $G$-graded algebra $A$ then $L$ and $A$ decompose as the orthogonal direct sums $L = \bigoplus_{i \in I}I_i$ and $A = \bigoplus_{j \in J}A_j$, where any $I_i$ is a non-zero ideal of $L$, any $A_j$ is a non-zero ideal of $A$, and both decompositions satisfy that for any $i \in I$ there exists a unique $j \in J$ such that $A_jI_i \neq 0$. Furthermore, any $I_i$ is a graded Lie-Rinehart algebra over $A_j$. Also, under mild conditions, it is shown that the above decompositions of $L$ and $A$ are by means of the family of their, respective, gr-simple ideals. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Lie-Rinehart algebra | pt |
dc.subject | Graded algebra | pt |
dc.subject | Simple component | pt |
dc.subject | Structure theory | pt |
dc.title | Graded Lie-Rinehart algebras | pt |
dc.type | article | - |
degois.publication.firstPage | 104914 | pt |
degois.publication.title | Journal of Geometry and Physics | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.geomphys.2023.104914 | pt |
degois.publication.volume | 191 | pt |
dc.date.embargo | 2022-02-25 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-1369-3737 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Graded Lie-Rinehart algebras.pdf | 417.8 kB | Adobe PDF | View/Open |
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