๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Free Resolutions and Change of Rings

โœ Scribed by Srikanth Iyengar

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
270 KB
Volume
190
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

Projective resolutions of modules over a ring R are constructed starting from appropriate projective resolutions over a ring Q mapping to R. It is shown that such resolutions may be chosen to be minimal in codimension F 2, but not in codimension 3. This is used to obtain minimal resolutions for essentially all ลฝ . modules over local or graded rings R with codimension F 2. Explicit resolutions are given for cyclic modules over multigraded rings, and necessary and sufficient conditions are obtained for their minimality.

๐Ÿ“œ SIMILAR VOLUMES

Free Resolutions of Simplicial Posets
Free Resolutions of Simplicial Posets
โœ Art M Duval ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 371 KB

A simplicial poset, a poset with a minimal element and whose every interval is a Boolean algebra, is a generalization of a simplicial complex. Stanley defined a ring A associated with a simplicial poset P that generalizes the face-ring of a P w x simplicial complex. If V is the set of vertices of P,

Minimal Free Resolutions of HomogenizedD
Minimal Free Resolutions of HomogenizedD-modules
โœ Toshinori Oaku; Nobuki Takayama ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 330 KB

Homogenizing a module over the ring of differential operators, we define the notion of a minimal free resolution that is adapted to a filtration. We show that one can apply a modification of the algorithm of La Scala and Stillman to compute such a free resolution. By dehomogenization, one gets a fre

Deformation Rings and Base Change
Deformation Rings and Base Change
โœ Chandrashekhar Khare ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB