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Relative Gorenstein Dimensions over Triangular Matrix Rings
dc.contributor.author | Bennis, Driss | |
dc.contributor.author | Maaouy, Rachid El | |
dc.contributor.author | García Rozas, Juan Ramón | |
dc.contributor.author | Oyonarte, Luis | |
dc.date.accessioned | 2021-11-15T11:42:00Z | |
dc.date.available | 2021-11-15T11:42:00Z | |
dc.date.issued | 2021-10-22 | |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/10835/12780 | |
dc.description.abstract | Let A and B be rings, U a (B,A)-bimodule, and T=(AU0B) the triangular matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are investigated. We first study how to construct w-tilting (tilting, semidualizing) over T using the corresponding ones over A and B. We show that when U is relative (weakly) compatible, we are able to describe the structure of GC-projective modules over T. As an application, we study when a morphism in T-Mod is a special GCP(T)-precover and when the class GCP(T) is a special precovering class. In addition, we study the relative global dimension of T. In some cases, we show that it can be computed from the relative global dimensions of A and B. We end the paper with a counterexample to a result that characterizes when a T-module has a finite projective dimension. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | triangular matrix ring | es_ES |
dc.subject | weaklyWakamatsu tilting modules | es_ES |
dc.subject | relative Gorenstein dimensions | es_ES |
dc.title | Relative Gorenstein Dimensions over Triangular Matrix Rings | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | 10.3390/math9212676 |