A brief survey on pure cohen–macaulayness in a fixed codimension

Pournaki, M. R ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.1007/s40306-021-00441-2
  3. Publisher: Springer , 2021
  4. Abstract:
  5. 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. © 2021, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd
  6. Keywords:
  7. Buchsbaum ring ; Simplicial complex ; Cohen–Macaulay simplicial complex ; Cohen–Macaulay ring ; CMt simplicial complex ; Buchsbaum simplicial complex
  8. Source: Acta Mathematica Vietnamica ; 2021 ; 02514184 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s40306-021-00441-2?noAccess=true