Open Access
2014 Expansions of monomial ideals and multigraded modules
Shamila Bayati, Jürgen Herzog
Rocky Mountain J. Math. 44(6): 1781-1804 (2014). DOI: 10.1216/RMJ-2014-44-6-1781


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.


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Shamila Bayati. Jürgen Herzog. "Expansions of monomial ideals and multigraded modules." Rocky Mountain J. Math. 44 (6) 1781 - 1804, 2014.


Published: 2014
First available in Project Euclid: 2 February 2015

zbMATH: 1327.13042
MathSciNet: MR3310948
Digital Object Identifier: 10.1216/RMJ-2014-44-6-1781

Primary: 13C13 , 13D02

Keywords: Expansion functor , free resolution , graded Betti numbers , monomial ideals

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 6 • 2014
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