Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Monomial regular sequences


Author: Jeffrey Mermin
Journal: Proc. Amer. Math. Soc. 138 (2010), 1983-1988
MSC (2010): Primary 13F20
DOI: https://doi.org/10.1090/S0002-9939-10-10244-5
Published electronically: February 2, 2010
MathSciNet review: 2596033
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We study Hilbert functions of ideals containing a regular sequence of monomials.


References [Enhancements On Off] (What's this?)

  • [CL] G. Clements and B. Lindström, A generalization of a combinatorial theorem of Macaulay, J. Combinatorial Theory 7 (1969), 230-238. MR 0246781 (40:50)
  • [EGH1] D. Eisenbud, M. Green, and J. Harris, Higher Castelnuovo theory, Astérisque 218 (1993), 187-202. MR 1265314 (95a:14057)
  • [EGH2] D. Eisenbud, M. Green, and J. Harris, Cayley-Bacharach theorems and conjectures, Bull. Amer. Math. Soc. 33 (1996), 295-324. MR 1376653 (97a:14059)
  • [Fa] S. Faridi, Monomial ideals via square-free monomial ideals Commutative algebra, Lect. Notes Pure Appl. Math., vol. 244, Chapman & Hall/CRC, Boca Raton, FL, 2006. MR 2184792 (2006i:13038)
  • [Ma] F. Macaulay, Some properties of enumeration in the theory of modular systems, Proc. London Math. Soc. 26 (1927), 531-555.
  • [MP1] J. Mermin and I. Peeva, Lexifying ideals, Math. Res. Lett. 13 (2006), 409-422. MR 2231127 (2007b:13023)
  • [MP2] J. Mermin and I. Peeva, Hilbert functions and lex ideals, J. Algebra 313 (2007), 642-656. MR 2329561 (2008c:13019)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 13F20

Retrieve articles in all journals with MSC (2010): 13F20


Additional Information

Jeffrey Mermin
Affiliation: Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078

DOI: https://doi.org/10.1090/S0002-9939-10-10244-5
Keywords: Hilbert function, lexicographic ideals
Received by editor(s): July 16, 2007
Received by editor(s) in revised form: October 6, 2009
Published electronically: February 2, 2010
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

American Mathematical Society