Direct sums of ADS* modules
| dc.contributor.author | Tribak, Rachid | |
| dc.contributor.author | Tutuncu, Derya Keskin | |
| dc.contributor.author | Ertas, Nil Orhan | |
| dc.date.accessioned | 2024-09-29T15:54:47Z | |
| dc.date.available | 2024-09-29T15:54:47Z | |
| dc.date.issued | 2016 | |
| dc.department | Karabük Üniversitesi | en_US |
| dc.description.abstract | A module M is called ADS* if for every direct summand N of M and every supplement K of N in M, we have M = N circle plus K. In this work, we study direct sums of ADS* modules. Many examples are provided to show that this notion is not inherited by direct sums. It is shown that if a module M has a decomposition M = A circle plus B which complements direct summands such that A and B are mutually projective, then M is ADS*. The class of rings R, for which all direct sums of ADS* R-modules are ADS*, is shown to be exactly that of the right V-rings. We characterize the class of right perfect rings R for which R circle plus S is ADS* for every simple R-module S as that of the semisimple rings. | en_US |
| dc.identifier.doi | 10.1007/s40590-015-0068-4 | |
| dc.identifier.endpage | 46 | en_US |
| dc.identifier.issn | 1405-213X | |
| dc.identifier.issn | 2296-4495 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85053692923 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 33 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s40590-015-0068-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/4290 | |
| dc.identifier.volume | 22 | en_US |
| dc.identifier.wos | WOS:000371901300003 | 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 | Springer Basel Ag | en_US |
| dc.relation.ispartof | Boletin De La Sociedad Matematica Mexicana | 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 | Supplement submodule | en_US |
| dc.subject | ADS* module | en_US |
| dc.subject | V-ring | en_US |
| dc.title | Direct sums of ADS* modules | en_US |
| dc.type | Article | en_US |
