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https://research.matf.bg.ac.rs/handle/123456789/1397
DC Field | Value | Language |
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dc.contributor.author | Jovanović, Milica | en_US |
dc.contributor.author | Stojčič, Petar | en_US |
dc.date.accessioned | 2024-12-05T17:56:10Z | - |
dc.date.available | 2024-12-05T17:56:10Z | - |
dc.date.issued | 2024 | - |
dc.identifier.uri | https://research.matf.bg.ac.rs/handle/123456789/1397 | - |
dc.description.abstract | In this paper, we consider the following question: if all homology groups of a space X are finitely generated, and if R is a commutative ring with identity, is it true that the homology and cohomology R-modules Hi(X; R) and Hi(X; R) are also finitely generated? We show that the answer to this question is negative in general, but affirmative if R is an integral domain. In the case when R is a principal ideal domain, and Hi(X; R) is finitely generated for all i, we also discuss computing Hi(X; M ) and Hi(X; M ) for a finitely generated R-module M . | en_US |
dc.language.iso | en | en_US |
dc.publisher | Beograd : Društvo Matematičara Srbije | en_US |
dc.relation.ispartof | The Teaching of Mathematics | en_US |
dc.rights | Attribution 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/us/ | * |
dc.subject | homology | en_US |
dc.subject | cohomology | en_US |
dc.subject | finitely generated module | en_US |
dc.title | Finite generativity of homology and cohomology modules | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.57016/TM-NSXY8680 | - |
dc.relation.issn | 1451-4966 | en_US |
dc.relation.firstpage | 112 | en_US |
dc.relation.lastpage | 118 | en_US |
dc.relation.volume | 27 | en_US |
dc.relation.issue | 2 | en_US |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0009-0006-2505-0321 | - |
Appears in Collections: | Research outputs |
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File | Description | Size | Format | |
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tm2724.pdf | 148.65 kB | Adobe PDF | View/Open |
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