Bigdeli, Mina and Herzog, Jürgen and Hibi, Takayuki and Asloob Topaçoğlu, Ayesha and Shikama, Akihiro (2018) Isotonian algebras. Nagoya Mathematical Journal, 230 . pp. 83-101. ISSN 0027-7630 (Print) 2152-6842 (Online)
This is the latest version of this item.
Official URL: https://dx.doi.org/10.1017/nmj.2017.4
Abstract
To a pair and of finite posets we attach the toric ring K[P,Q] whose generators are in bijection to the isotone maps from to P to Q. This class of algebras, called isotonian, are natural generalizations of the so-called Hibi rings. We determine the Krull dimension of these algebras and for particular classes of posets P and Q we show that K[P,Q] is normal and that their defining ideal admits a quadratic Gröbner basis.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 13 Jun 2023 12:24 |
| Last Modified: | 13 Jun 2023 12:24 |
| URI: | https://research.sabanciuniv.edu/id/eprint/46040 |
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Isotonian algebras. (deposited 04 May 2017 16:16)
- Isotonian algebras. (deposited 13 Jun 2023 12:24) [Currently Displayed]
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