On δ-perfect and δ-semiperfect rings
| dc.contributor.advisor | Pusat, Dilek | |
| dc.contributor.author | Kızılaslan, Gonca | |
| dc.date.accessioned | 2023-11-13T09:45:49Z | |
| dc.date.available | 2023-11-13T09:45:49Z | |
| dc.date.issued | 2014 | |
| dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014 | en_US |
| dc.description | Includes bibliographical references (leaves: 52) | en_US |
| dc.description | Text in English; Abstract: Turkish and English | en_US |
| dc.description.abstract | In this thesis, we give a survey of generalizations of right-perfect, semiperfect and semiregular rings by considering the class of all singular R-modules in place of the class of all R-modules. For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if, whenever N +X = M with M / X singular, we have X = M. If there exists an epimorphism p : P → M such that P is projective and Ker(p) is δ-small in P, then we say that P is a projective δ-cover of M. A ring R is called δ-perfect (respectively, δ-semiperfect) if every R-module (respectively, simple R-module) has a projective δ-cover. In this thesis, various properties and characterizations of δ-perfect and δ-semiperfect rings are stated. | en_US |
| dc.identifier.uri | http://standard-demo.gcris.com/handle/123456789/5261 | |
| dc.language.iso | en | en_US |
| dc.publisher | Izmir Institute of Technology | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | R-modules | en_US |
| dc.subject.lcsh | Rings (Algebra) | en_US |
| dc.title | On δ-perfect and δ-semiperfect rings | en_US |
| dc.title.alternative | δ-Mükemmel ve δ-yarımükemmel halkalar üzerine | en_US |
| dc.type | Master Thesis | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Kızılaslan, Gonca | |
| gdc.description.department | Mathematics | en_US |
| gdc.description.publicationcategory | Tez | en_US |