IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS
In this paper, we introduce the class of ideals with $(d_1,ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,ldots,d_m)$-linear quotients. In particular...
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2018-09-01
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| Series: | Journal of Algebraic Systems |
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| Online Access: | http://jas.shahroodut.ac.ir/article_1253_6f8ef72f643795159174715408d317ee.pdf |
| _version_ | 1828785565650124800 |
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| author | L. Sharifan |
| author_facet | L. Sharifan |
| author_sort | L. Sharifan |
| collection | DOAJ |
| description | In this paper, we introduce the class of ideals with $(d_1,ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,ldots,d_m)$-linear quotients. In particular we show that their first module of syzygies is a componentwise linear module. |
| first_indexed | 2024-12-11T23:54:43Z |
| format | Article |
| id | doaj.art-6bc98efd275845c0a67a91f891c0dc87 |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-12-11T23:54:43Z |
| publishDate | 2018-09-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-6bc98efd275845c0a67a91f891c0dc872022-12-22T00:45:23ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2018-09-0161294210.22044/jas.2018.5530.12801253IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTSL. Sharifan0Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran and School of Mathematics, Institute for research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran.In this paper, we introduce the class of ideals with $(d_1,ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,ldots,d_m)$-linear quotients. In particular we show that their first module of syzygies is a componentwise linear module.http://jas.shahroodut.ac.ir/article_1253_6f8ef72f643795159174715408d317ee.pdfmapping conecomponentwise linear moduleregularity |
| spellingShingle | L. Sharifan IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS Journal of Algebraic Systems mapping cone componentwise linear module regularity |
| title | IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS |
| title_full | IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS |
| title_fullStr | IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS |
| title_full_unstemmed | IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS |
| title_short | IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS |
| title_sort | ideals with d1 dm linear quotients |
| topic | mapping cone componentwise linear module regularity |
| url | http://jas.shahroodut.ac.ir/article_1253_6f8ef72f643795159174715408d317ee.pdf |
| work_keys_str_mv | AT lsharifan idealswithd1dmlinearquotients |