Dual Zariski Spaces of Modules
| dc.contributor.author | Ceken, Secil | |
| dc.date.accessioned | 2024-06-12T10:59:54Z | |
| dc.date.available | 2024-06-12T10:59:54Z | |
| dc.date.issued | 2023 | |
| dc.department | Trakya Üniversitesi | en_US |
| dc.description.abstract | Let R be a commutative ring with identity, M be an R-module, L (M ) denote the set of all submodules of M and G subset of L ( M) \ { 0(M) } . For any submodule N of M, we set GV(d) ( N) = { K is an element of G : K subset of N } and G zeta(d) (M ) = { GV(d) ( N) : N is an element of L (M ) } . Consider chi subset of L ( R) \ { R } , where L (R ) is the set of all ideals of R. We set chi V (I ) = { J is an element of chi : I subset of J } and chi zeta (R ) = { chi V (I ) : I is an element of L (R ) } for any ideal I of R. In this paper, we investigate when, for arbitrary chi and G as above, chi zeta (R ) and G zeta(d) (M ) form a topology and a semimodule, respectively. We investigate the structure of G zeta(d) (M ) in the case that it is a semimodule. | en_US |
| dc.identifier.doi | 10.1142/S1005386723000445 | |
| dc.identifier.endpage | 584 | en_US |
| dc.identifier.issn | 1005-3867 | |
| dc.identifier.issn | 0219-1733 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85179784156 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 569 | en_US |
| dc.identifier.uri | https://doi.org/10.1142/S1005386723000445 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/20618 | |
| dc.identifier.volume | 30 | en_US |
| dc.identifier.wos | WOS:001115520500007 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Algebra Colloquium | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Dual Zariski Semimodule | en_US |
| dc.subject | Chi-Zariski Semiring | en_US |
| dc.subject | Center Dot-Coprime Submodule | en_US |
| dc.subject | Subtractive Subspace | en_US |
| dc.title | Dual Zariski Spaces of Modules | en_US |
| dc.type | Article | en_US |
