LCM lattices supporting pure resolutions
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- by Christopher A. Francisco, Jeffrey Mermin and Jay Schweig
- Proc. Amer. Math. Soc. 144 (2016), 2315-2325
- DOI: https://doi.org/10.1090/proc/12890
- Published electronically: October 20, 2015
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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.References
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Bibliographic Information
- Christopher A. Francisco
- Affiliation: Department of Mathematics, 401 Mathematical Sciences Building, Oklahoma State University, Stillwater, Oklahoma 74078
- MR Author ID: 719806
- Email: chris.francisco@okstate.edu
- Jeffrey Mermin
- Affiliation: Department of Mathematics, 401 Mathematical Sciences Building, Oklahoma State University, Stillwater, Oklahoma 74078
- MR Author ID: 787203
- Email: mermin@math.okstate.edu
- Jay Schweig
- Affiliation: Department of Mathematics, 401 Mathematical Sciences Building, Oklahoma State University, Stillwater, Oklahoma 74078
- MR Author ID: 702558
- Email: jay.schweig@okstate.edu
- 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
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2315-2325
- MSC (2010): Primary 06A07, 13D02
- DOI: https://doi.org/10.1090/proc/12890
- MathSciNet review: 3477049