Isotonian algebras

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)

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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

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