## Rocky Mountain Journal of Mathematics

### Expansions of monomial ideals and multigraded modules

#### 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

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

#### 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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