On the saturations of submodules
Let R ⊆ S be a ring extension, and let A be an R-submodule of S. The saturation of A (in S) by τ is set A[τ] = {x ∈ S : tx ∈ A for some t ∈ τ}, where τ is a multiplicative subset of R. We study properties of saturations of R-submodules of S. We use this notion of saturation to characterize star oper...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2018 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2018
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188378 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the saturations of submodules / L. Paudel, S. Tchamna // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 110–123. — Бібліогр.: 8 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862568979784007680 |
|---|---|
| author | Paudel, L. Tchamna, S. |
| author_facet | Paudel, L. Tchamna, S. |
| citation_txt | On the saturations of submodules / L. Paudel, S. Tchamna // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 110–123. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let R ⊆ S be a ring extension, and let A be an R-submodule of S. The saturation of A (in S) by τ is set A[τ] = {x ∈ S : tx ∈ A for some t ∈ τ}, where τ is a multiplicative subset of R. We study properties of saturations of R-submodules of S. We use this notion of saturation to characterize star operations ⋆ on ring extensions R ⊆ S satisfying the relation (A ∩ B)⋆ = A⋆ ∩ B⋆ whenever A and B are two R-submodules of S such that AS = BS = S.
|
| first_indexed | 2025-11-26T01:39:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188378 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T01:39:52Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Paudel, L. Tchamna, S. 2023-02-26T12:31:31Z 2023-02-26T12:31:31Z 2018 On the saturations of submodules / L. Paudel, S. Tchamna // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 110–123. — Бібліогр.: 8 назв. — англ. 1726-3255 2010 MSC: 13A15, 13A18, 13B02. https://nasplib.isofts.kiev.ua/handle/123456789/188378 Let R ⊆ S be a ring extension, and let A be an R-submodule of S. The saturation of A (in S) by τ is set A[τ] = {x ∈ S : tx ∈ A for some t ∈ τ}, where τ is a multiplicative subset of R. We study properties of saturations of R-submodules of S. We use this notion of saturation to characterize star operations ⋆ on ring extensions R ⊆ S satisfying the relation (A ∩ B)⋆ = A⋆ ∩ B⋆ whenever A and B are two R-submodules of S such that AS = BS = S. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the saturations of submodules Article published earlier |
| spellingShingle | On the saturations of submodules Paudel, L. Tchamna, S. |
| title | On the saturations of submodules |
| title_full | On the saturations of submodules |
| title_fullStr | On the saturations of submodules |
| title_full_unstemmed | On the saturations of submodules |
| title_short | On the saturations of submodules |
| title_sort | on the saturations of submodules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188378 |
| work_keys_str_mv | AT paudell onthesaturationsofsubmodules AT tchamnas onthesaturationsofsubmodules |