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Title: Burch Index, Summands of Syzygies and Linearity in Resolutions
Abstract The Burch index is a new invariant of a local ringRwhose positivity implies a kind of linearity in resolutions ofR-modules. We show that ifRhas depth zero and Burch index at least 2, then any non-free 7thR-syzygy contains the residue field as a direct summand. We compute the Burch index in various cases of interest.  more » « less
Award ID(s):
2001649 2001206
PAR ID:
10397596
Author(s) / Creator(s):
;
Publisher / Repository:
Springer Science + Business Media
Date Published:
Journal Name:
Bulletin of the Iranian Mathematical Society
Volume:
49
Issue:
2
ISSN:
1017-060X
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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