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LCM lattices supporting pure resolutions


Authors: Christopher A. Francisco, Jeffrey Mermin and Jay Schweig
Journal: Proc. Amer. Math. Soc. 144 (2016), 2315-2325
MSC (2010): Primary 06A07, 13D02
DOI: https://doi.org/10.1090/proc/12890
Published electronically: October 20, 2015
MathSciNet review: 3477049
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Abstract: We characterize the lcm lattices that support a monomial ideal with a pure resolution. Given such a lattice, we provide a construction that yields a monomial ideal with that lcm lattice and whose minimal free resolution is pure.


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Additional Information

Christopher A. Francisco
Affiliation: Department of Mathematics, 401 Mathematical Sciences Building, Oklahoma State University, Stillwater, Oklahoma 74078
Email: chris.francisco@okstate.edu

Jeffrey Mermin
Affiliation: Department of Mathematics, 401 Mathematical Sciences Building, Oklahoma State University, Stillwater, Oklahoma 74078
Email: mermin@math.okstate.edu

Jay Schweig
Affiliation: Department of Mathematics, 401 Mathematical Sciences Building, Oklahoma State University, Stillwater, Oklahoma 74078
Email: jay.schweig@okstate.edu

DOI: https://doi.org/10.1090/proc/12890
Received by editor(s): June 11, 2015
Received by editor(s) in revised form: July 1, 2015
Published electronically: October 20, 2015
Communicated by: Irena Peeva
Article copyright: © Copyright 2015 American Mathematical Society

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