COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION
In this paper we use "ring changed'' Gorenstein homologicaldimensions to define Cohen-Macaulay injective, projective and flatdimensions. For doing this we use the amalgamated duplication of thebase ring with semi-dualizing ideals. Among other results, we prove that finiteness of these...
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2015-02-01
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| Series: | Journal of Algebraic Systems |
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| Online Access: | http://jas.shahroodut.ac.ir/article_361_50a50dd113314eebf1bad604ed0e91b0.pdf |
| _version_ | 1818035046286622720 |
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| author | Afsaneh Esmaeelnezhad |
| author_facet | Afsaneh Esmaeelnezhad |
| author_sort | Afsaneh Esmaeelnezhad |
| collection | DOAJ |
| description | In this paper we use "ring changed'' Gorenstein homologicaldimensions to define Cohen-Macaulay injective, projective and flatdimensions. For doing this we use the amalgamated duplication of thebase ring with semi-dualizing ideals. Among other results, we prove that finiteness of these new dimensions characterizes Cohen-Macaulay rings with dualizing ideals. |
| first_indexed | 2024-12-10T06:48:49Z |
| format | Article |
| id | doaj.art-72a763adf2e744d4945c6ce206118154 |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-12-10T06:48:49Z |
| publishDate | 2015-02-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-72a763adf2e744d4945c6ce2061181542022-12-22T01:58:35ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2015-02-012212513510.22044/jas.2015.361361COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATIONAfsaneh Esmaeelnezhad0Department of Mathematics, University of Kharazmi, Karaj, IranIn this paper we use "ring changed'' Gorenstein homologicaldimensions to define Cohen-Macaulay injective, projective and flatdimensions. For doing this we use the amalgamated duplication of thebase ring with semi-dualizing ideals. Among other results, we prove that finiteness of these new dimensions characterizes Cohen-Macaulay rings with dualizing ideals.http://jas.shahroodut.ac.ir/article_361_50a50dd113314eebf1bad604ed0e91b0.pdfSemi-dualizing idealAmalgamated duplicationGorenstein homological dimensionCohen-Macaulay homological dimension |
| spellingShingle | Afsaneh Esmaeelnezhad COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION Journal of Algebraic Systems Semi-dualizing ideal Amalgamated duplication Gorenstein homological dimension Cohen-Macaulay homological dimension |
| title | COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION |
| title_full | COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION |
| title_fullStr | COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION |
| title_full_unstemmed | COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION |
| title_short | COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION |
| title_sort | cohen macaulay homological dimensions with respect to amalgamated duplication |
| topic | Semi-dualizing ideal Amalgamated duplication Gorenstein homological dimension Cohen-Macaulay homological dimension |
| url | http://jas.shahroodut.ac.ir/article_361_50a50dd113314eebf1bad604ed0e91b0.pdf |
| work_keys_str_mv | AT afsanehesmaeelnezhad cohenmacaulayhomologicaldimensionswithrespecttoamalgamatedduplication |