LOWER BOUNDS ON PROJECTIVE LEVELS OF COMPLEXES

Authors

Hannah Altmann, Bemidji State UniversityFollow
Eloisa Grifo, University of VirginiaFollow
Jonathan Montano, University of KansasFollow
William T. Sanders, Norwegian University of Science and TechnologyFollow
Thanh Vu, University of Nebraska - LincolnFollow

Date of this Version

2017

Citation

Published in Journal of Algebra, 491, 343-356, 2017.

Comments

Copyright 2017 Elsevier Inc.

http://dx.doi.org/10.1016/j.jalgebra.2017.08.013

Abstract

For an associative ring R, the projective level of a complex F is the smallest number of mapping cones needed to build F from projective R modules. We establish lower bounds for the projective level of F in terms of the vanishing of homology of F. We then use these bounds to derive a new version of The New Intersection Theorem for level when R is a commutative Noetherian local ring.