Local Rings of Embedding Codepth 3. Examples

被引:0
作者
Lars Winther Christensen
Oana Veliche
机构
[1] Texas Tech University,
[2] Northeastern University,undefined
来源
Algebras and Representation Theory | 2014年 / 17卷
关键词
Free resolution; Local ring; Tor algebra; Primary 13D02; Secondary 13C99; 13H10;
D O I
暂无
中图分类号
学科分类号
摘要
A complete local ring of embedding codepth 3 has a minimal free resolution of length 3 over a regular local ring. Such resolutions carry a differential graded algebra structure, based on which one can classify local rings of embedding codepth 3. We give examples of algebra structures that have been conjectured not to occur.
引用
收藏
页码:121 / 135
页数:14
相关论文
共 9 条
[1]  
Avramov LL(2012)A cohomological study of local rings of embedding codepth 3 J. Pure Appl. Algebra 216 2489-2056
[2]  
Avramov LL(1988)Poincaré series of modules over local rings of small embedding codepth or small linking number J. Algebra 118 162-204
[3]  
Kustin AR(1987)A structure theorem for a class of grade three perfect ideals J. Algebra 105 308-327
[4]  
Miller M(1977)Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3 Am. J. Math. 99 447-485
[5]  
Brown AE(1973)A note on Gorenstein rings of embedding codimension three Nagoya Math. J. 50 227-232
[6]  
Buchsbaum DA(1989)On the structure of free resolutions of length 3 J. Algebra 126 1-33
[7]  
Eisenbud D(undefined)undefined undefined undefined undefined-undefined
[8]  
Watanabe J(undefined)undefined undefined undefined undefined-undefined
[9]  
Weyman J(undefined)undefined undefined undefined undefined-undefined