Pure-Direct-Injective Modules
| dc.authorid | DAS, SOUMITRA/0000-0003-4632-0440 | |
| dc.authorid | alagoz, yusuf/0000-0002-2535-4679 | |
| dc.contributor.author | Maurya, Sanjeev Kumar | |
| dc.contributor.author | Das, Soumitra | |
| dc.contributor.author | Alagoz, Yusuf | |
| dc.date.accessioned | 2024-12-24T19:29:38Z | |
| dc.date.available | 2024-12-24T19:29:38Z | |
| dc.date.issued | 2022 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this paper, we study the class of modules having the property that if any pure submodule is isomorphic to a direct summand of such a module then the pure submodule is itself a direct summand. These modules are termed as pure-direct-injective modules (or pure-C2 modules). We have characterized the rings whose pure-C2 modules satisfy certain conditions, such as being C2, (pure-) injective, projective, or dual-Utumi. For instance, it is proved that if R is a right Noetherian ring over which every pure-C2 right R-module is pure-injective, then R is Kroll-Schmidt semiperfect. The rings over which every pure-C2 module is injective, projective and dual-Utumi are exactly the semisimple rings. Also, it is shown that a ring R is right perfect if and only if every projective right R- module is pure-C2. | |
| dc.identifier.doi | 10.1134/S1995080222050171 | |
| dc.identifier.endpage | 428 | |
| dc.identifier.issn | 1995-0802 | |
| dc.identifier.issn | 1818-9962 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85130358263 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 416 | |
| dc.identifier.uri | https://doi.org/10.1134/S1995080222050171 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/7184 | |
| dc.identifier.volume | 43 | |
| dc.identifier.wos | WOS:000797598000016 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Maik Nauka/Interperiodica/Springer | |
| dc.relation.ispartof | Lobachevskii Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | (pure-)injective modules | |
| dc.subject | (pure-)C2 modules | |
| dc.subject | (von Neumann) regular rings | |
| dc.subject | (pure-)semisimple rings | |
| dc.title | Pure-Direct-Injective Modules | |
| dc.type | Article |
