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A note on monomial ideals which are Cohen–Macaulay in a fixed codimension

Pournaki, M.R ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1080/00927872.2022.2079663
  3. Publisher: Taylor and Francis Ltd , 2022
  4. Abstract:
  5. In this note, we introduce and investigate the notion of (Formula presented.) monomial ideals. We give an explicit relation of the (Formula presented.) property to a monomial ideal and its polarization. Further, we characterize the (Formula presented.) property of the ordinary as well as the symbolic third or more powers of squarefree monomial ideals. © 2022 Taylor & Francis Group, LLC
  6. Keywords:
  7. CMt simplicial complex ; Cohen–Macaulay ring ; Cohen–Macaulay simplicial complex ; Generalized Cohen–Macaulay ring ; Generalized Cohen–Macaulay simplicial complex ; Simplicial complex
  8. Source: Communications in Algebra ; Volume 50, Issue 11 , 2022 , Pages 4988-4996 ; 00927872 (ISSN)
  9. URL: https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2079663