Free Direct Summands of Maximal Rank and Rigidity in Projective Dimension Two

DOI10.1080/00927870500387937zbMath1097.13018OpenAlexW2072629103MaRDI QIDQ5470027

Alexandre B. Tchernev

Publication date: 29 May 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870500387937

zbMATH Keywords

projective dimensionrigidityfree rankuniversal resolutions

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (2)

Vanishing of Tor, and why we care about it ⋮ VANISHING OF COHOMOLOGY OVER COMPLETE INTERSECTION RINGS

Cites Work

• Unnamed Item
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Modules of finite projective dimension with negative intersection multiplicities
• Some structure theorems for finite free resolutions
• What makes a complex exact?
• A counterexample to the rigidity conjecture for rings
• Universal complexes and the generic structure of free resolutions.

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