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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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 |
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doaj-6bc98efd275845c0a67a91f891c0dc872020-11-25T00:36:19ZengShahrood 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
L. Sharifan |
| spellingShingle |
L. Sharifan IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS Journal of Algebraic Systems mapping cone componentwise linear module regularity |
| author_facet |
L. Sharifan |
| author_sort |
L. Sharifan |
| title |
IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS |
| title_short |
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_sort |
ideals with (d1, . . . , dm)-linear quotients |
| publisher |
Shahrood University of Technology |
| series |
Journal of Algebraic Systems |
| issn |
2345-5128 2345-511X |
| publishDate |
2018-09-01 |
| 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. |
| topic |
mapping cone componentwise linear module regularity |
| url |
http://jas.shahroodut.ac.ir/article_1253_6f8ef72f643795159174715408d317ee.pdf |
| work_keys_str_mv |
AT lsharifan idealswithd1dmlinearquotients |
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1725306044481011712 |