A Brief Survey on Pure Cohen–Macaulayness in a Fixed Codimension

Autor:	Naoki Terai, Siamak Yassemi, M. Poursoltani, Mohammad Reza Pournaki
Rok vydání:	2021
Předmět:	Pure mathematics Simplicial complex Mathematics::Commutative Algebra Cohen–Macaulay ring General Mathematics Codimension Finitely-generated abelian group Mathematics Coherent sheaf
Zdroj:	Acta Mathematica Vietnamica. 47:181-196
ISSN:	2315-4144 0251-4184
Popis:	A concept of Cohen–Macaulay in codimension t is defined and characterized for arbitrary finitely generated modules and coherent sheaves by Miller, Novik, and Swartz in 2011. Soon after, Haghighi, Yassemi, and Zaare-Nahandi defined and studied CMt simplicial complexes, which is the pure version of the abovementioned concept and naturally generalizes both Cohen–Macaulay and Buchsbaum properties. The purpose of this paper is to survey briefly recent results of CMt simplicial complexes.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9c671b5b1fcee0f013188a30344f7bde https://doi.org/10.1007/s40306-021-00441-2 Zobrazit plný text záznamu Full text from SpringerLink