ON GRADED INJECTIVE DIMENSION
There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and in...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2019-01-01
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| Series: | Journal of Algebraic Systems |
| Subjects: | |
| Online Access: | http://jas.shahroodut.ac.ir/article_1365_4e087ce69ac02696c5bfd84864faa899.pdf |
| _version_ | 1819264295738802176 |
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| author | Akram Mahmoodi Afsaneh Esmaeelnezhad |
| author_facet | Akram Mahmoodi Afsaneh Esmaeelnezhad |
| author_sort | Akram Mahmoodi |
| collection | DOAJ |
| description | There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and investigate its consequences. |
| first_indexed | 2024-12-23T20:27:13Z |
| format | Article |
| id | doaj.art-34eeb80965af44d9ba7e4f911e271c2e |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-12-23T20:27:13Z |
| publishDate | 2019-01-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-34eeb80965af44d9ba7e4f911e271c2e2022-12-21T17:32:20ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2019-01-016215716710.22044/jas.2018.5984.12991365ON GRADED INJECTIVE DIMENSIONAkram Mahmoodi0Afsaneh Esmaeelnezhad1Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395- 4697, Tehran, Iran.Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395- 4697, Tehran, Iran.There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and investigate its consequences.http://jas.shahroodut.ac.ir/article_1365_4e087ce69ac02696c5bfd84864faa899.pdfgraded ringsgraded modulesinjective dimension |
| spellingShingle | Akram Mahmoodi Afsaneh Esmaeelnezhad ON GRADED INJECTIVE DIMENSION Journal of Algebraic Systems graded rings graded modules injective dimension |
| title | ON GRADED INJECTIVE DIMENSION |
| title_full | ON GRADED INJECTIVE DIMENSION |
| title_fullStr | ON GRADED INJECTIVE DIMENSION |
| title_full_unstemmed | ON GRADED INJECTIVE DIMENSION |
| title_short | ON GRADED INJECTIVE DIMENSION |
| title_sort | on graded injective dimension |
| topic | graded rings graded modules injective dimension |
| url | http://jas.shahroodut.ac.ir/article_1365_4e087ce69ac02696c5bfd84864faa899.pdf |
| work_keys_str_mv | AT akrammahmoodi ongradedinjectivedimension AT afsanehesmaeelnezhad ongradedinjectivedimension |