On a generalization of Leray simplicial complexes

Document Type : Research Paper

Author

University of Tehran

Abstract

‎We define a refinement of the notion of Leray simplicial complexes and study its properties‎. ‎Moreover‎, ‎we translate some of our results to the language of commutative algebra‎.

Keywords


[1] H. Haghighi, S. A. Seyed Fakhari, S. Yassemi and R. Zaare-Nahandi, A generalization of Eagon-Reiner’s theorem and
a characterization of bi-CMt bipartite and chordal graphs, Comm. Algebra, 46 (2018) 3889–3898.
[2] H. Haghighi, S. Yassemi and R. Zaare-Nahandi, A generalization of k-Cohen–Macaulay simplicial complexes, Ark.
Mat., 50 (2012) 279–290.
[3] J. Herzog and T. Hibi, Monomial Ideals, Springer-Verlag, 2011.
[4] G. Kalai and R. Meshulam, Intersections of Leray complexes and regularity of monomial ideals, J. Combin. Theory
Ser. A, 113 (2006) 1586–1592.
  • Receive Date: 30 October 2019
  • Revise Date: 14 December 2019
  • Accept Date: 15 December 2019
  • Published Online: 01 March 2020