Rocky Mountain Journal of Mathematics

Expansions of monomial ideals and multigraded modules

Shamila Bayati and Jürgen Herzog

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Abstract

We introduce an exact functor defined on multigraded modules which we call the expansion functor and study its homological properties. The expansion functor applied to a monomial ideal amounts to substitute the variables by monomial prime ideals and to apply this substitution to the generators of the ideal. This operation naturally occurs in various combinatorial contexts.

Article information

Source
Rocky Mountain J. Math., Volume 44, Number 6 (2014), 1781-1804.

Dates
First available in Project Euclid: 2 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1422885094

Digital Object Identifier
doi:10.1216/RMJ-2014-44-6-1781

Mathematical Reviews number (MathSciNet)
MR3310948

Zentralblatt MATH identifier
1327.13042

Subjects
Primary: 13C13: Other special types 13D02: Syzygies, resolutions, complexes

Keywords
Expansion functor free resolution graded Betti numbers monomial ideals

Citation

Bayati, Shamila; Herzog, Jürgen. Expansions of monomial ideals and multigraded modules. Rocky Mountain J. Math. 44 (2014), no. 6, 1781--1804. doi:10.1216/RMJ-2014-44-6-1781. https://projecteuclid.org/euclid.rmjm/1422885094


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