2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly co...
| Authors: | ; ; ; ; ; |
|---|---|
| Format: | Article |
| Publication date: | 2023 |
| Country: | España |
| Institution: | Universidad del País Vasco |
| Repository: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/60558 |
| Online Access: | http://hdl.handle.net/10810/60558 |
| Access Level: | Open access |
| Keyword: | 2-absorbing ideal vague weakly complete Γ-ideal 2-absorbing K-vague Γ-ideal radical |
| _version_ | 1878733837874233344 |
|---|---|
| author | Onar, Serkan |
| author2 | Hila, Kostaq Etemad, Sina Akgül, Ali De la Sen Parte, Manuel Rezapour, Shahram |
| author2_role | author author author author author |
| author_browse | Akgül, Ali De la Sen Parte, Manuel Etemad, Sina Hila, Kostaq Onar, Serkan Rezapour, Shahram |
| author_facet | Onar, Serkan Hila, Kostaq Etemad, Sina Akgül, Ali De la Sen Parte, Manuel Rezapour, Shahram |
| author_role | author |
| collection | Addi. Archivo Digital para la Docencia y la Investigación |
| description | The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly complete primary ideal theory. The approach of non-symmetric 2-absorbing K-vague Γ-ideals of Γ-rings are examined and the relation between a level subset of 2-absorbing vague weakly complete Γ-ideals and 2-absorbing Γ-ideals is given. The image and inverse image of a 2-absorbing vague weakly complete Γ-ideal of a Γ-ring and 2-absorbing K-vague Γ-ideal of a Γ-ring are studied and a 1-1 inclusion-preserving correspondence theorem is given. A vague quotient Γ-ring of R induced by a 2-absorbing vague weakly complete Γ-ideal of a 2-absorbing Γ-ring is characterized, and a diagram is obtained that shows the relationship between these concepts with a 2-absorbing Γ-ideal. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_5df1db4e71e34ff32fa99c6175f67bb5 |
| institution | Universidad del País Vasco |
| instname_str | Universidad del País Vasco |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:addi.ehu.eus:10810/60558 |
| publishDate | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI |
| publisherStr | MDPI |
| reponame_str | Addi. Archivo Digital para la Docencia y la Investigación |
| spelling | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings Onar, Serkan Hila, Kostaq Etemad, Sina Akgül, Ali De la Sen Parte, Manuel Rezapour, Shahram 2-absorbing ideal vague weakly complete Γ-ideal 2-absorbing K-vague Γ-ideal radical The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly complete primary ideal theory. The approach of non-symmetric 2-absorbing K-vague Γ-ideals of Γ-rings are examined and the relation between a level subset of 2-absorbing vague weakly complete Γ-ideals and 2-absorbing Γ-ideals is given. The image and inverse image of a 2-absorbing vague weakly complete Γ-ideal of a Γ-ring and 2-absorbing K-vague Γ-ideal of a Γ-ring are studied and a 1-1 inclusion-preserving correspondence theorem is given. A vague quotient Γ-ring of R induced by a 2-absorbing vague weakly complete Γ-ideal of a 2-absorbing Γ-ring is characterized, and a diagram is obtained that shows the relationship between these concepts with a 2-absorbing Γ-ideal. MDPI http://hdl.handle.net/10810/60558 |
| spellingShingle | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings Onar, Serkan 2-absorbing ideal vague weakly complete Γ-ideal 2-absorbing K-vague Γ-ideal radical |
| title | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings |
| title_full | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings |
| title_fullStr | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings |
| title_full_unstemmed | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings |
| title_short | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings |
| title_sort | 2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings |
| topic | 2-absorbing ideal vague weakly complete Γ-ideal 2-absorbing K-vague Γ-ideal radical |
| topic_facet | 2-absorbing ideal vague weakly complete Γ-ideal 2-absorbing K-vague Γ-ideal radical |
| url | http://hdl.handle.net/10810/60558 |