Abstract
Given a commutative Noetherian local ring R, the linearity defect of a finitely generated R-module M, denoted ldR(M), is an invariant that measures how far M and its syzygies are from having a linear resolution. Motivated by a positive known answer in the graded case, we study the question of whether ldR(k)<∞ implies ldR(k)=0. We give answers in special cases, and we discuss several interpretations and refinements of the question.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
