89
Views
0
CrossRef citations to date
0
Altmetric
Articles

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

ORCID Icon, , &
Pages 4988-4996 | Received 26 Jun 2021, Accepted 13 May 2022, Published online: 21 Jun 2022

References

  • Haghighi, H., Yassemi, S., Zaare-Nahandi, R. (2012). A generalization of k-Cohen–Macaulay simplicial complexes. Ark. Mat. 50(2):279–290. DOI: 10.1007/s11512-010-0136-y.
  • Herzog, J., Takayama, Y., Terai, N. (2005). On the radical of a monomial ideal. Arch. Math. 85(5):397–408. DOI: 10.1007/s00013-005-1385-z.
  • Miller, E. (2000). The Alexander duality functors and local duality with monomial support. J. Algebra 231(1):180–234. DOI: 10.1006/jabr.2000.8359.
  • Miller, E., Novik, I., Swartz, E. (2011). Face rings of simplicial complexes with singularities. Math. Ann. 351(4):857–875. DOI: 10.1007/s00208-010-0620-5.
  • Minh, N. C., Trung, N. V. (2011). Cohen–Macaulayness of monomial ideals and symbolic powers of Stanley–Reisner ideals. Adv. Math. 226(2):1285–1306. DOI: 10.1016/j.aim.2010.08.005.
  • Reisner, G. A. (1976). Cohen–Macaulay quotients of polynomial rings. Adv. Math. 21(1):30–49. DOI: 10.1016/0001-8708(76)90114-6.
  • Sabzrou, H., Tousi, M., Yassemi, S. (2008). Simplicial join via tensor product. Manuscripta Math. 126(2):255–272. DOI: 10.1007/s00229-008-0175-x.
  • Schenzel, P. (1981). On the number of faces of simplicial complexes and the purity of Frobenius. Math. Z. 178(1):125–142. DOI: 10.1007/BF01218376.
  • Schenzel, P. (1982). Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe. Lecture Notes in Mathematics, Vol. 907. Berlin-New York: Springer-Verlag.
  • Terai, N., Trung, N. V. (2012). Cohen–Macaulayness of large powers of Stanley–Reisner ideals. Adv. Math. 229(2):711–730. DOI: 10.1016/j.aim.2011.10.004.
  • Terai, N., Yoshida, K. I. (2009). Locally complete intersection Stanley–Reisner ideals. Illinois J. Math. 53(2):413–429. DOI: 10.1215/ijm/1266934785.
  • Yanagawa, K. (2000). Alexander duality for Stanley–Reisner rings and squarefree Nn-graded modules. J. Algebra 225(2):630–645. DOI: 10.1006/jabr.1999.8130.
  • Yanagawa, K. (2012). Sliding functor and polarization functor for multigraded modules. Commun. Algebra 40(3):1151–1166. DOI: 10.1080/00927872.2010.547540.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.