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Monomial regular sequences
Author(s):
Jeffrey
Mermin
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1983-1988.
MSC (2010):
Primary 13F20
Posted:
February 2, 2010
MathSciNet review:
2596033
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Additional information
Abstract:
We study Hilbert functions of ideals containing a regular sequence of monomials.
References:
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- G. Clements and B. Lindström, A generalization of a combinatorial theorem of Macaulay, J. Combinatorial Theory 7 (1969), 230-238. MR 0246781 (40:50)
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- 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.
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- 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)
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Additional Information:
Jeffrey
Mermin
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
DOI:
10.1090/S0002-9939-10-10244-5
PII:
S 0002-9939(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
Posted:
February 2, 2010
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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