Bandari, Somayeh and Asloob Topaçoğlu, Ayesha (2023) Ideals with linear quotients and componentwise polymatroidal ideals. Mediterranean Journal of Mathematics, 20 (2). ISSN 1660-5446 (Print) 1660-5454 (Online)
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Official URL: https://dx.doi.org/10.1007/s00009-023-02264-x
Abstract
If I is a monomial ideal with linear quotients, then it has componentwise linear quotients. However, the converse of this statement is an open question. In this paper, we provide two classes of ideals for which the converse of this statement holds. First class is the componentwise polymatroidal ideals in K[x, y] and the second one is the componentwise polymatroidal ideals with strong exchange property.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | componentwise polymatroidal ideals; linear quotients; Polymatroidal ideals; strong exchange property |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 16 Apr 2023 16:21 |
| Last Modified: | 16 Apr 2023 16:21 |
| URI: | https://research.sabanciuniv.edu/id/eprint/45370 |
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