Koszul Algebras and Their Ideals

被引：0
作者：
D. I. Piontkovskii
机构：
[1] Central Institute of Economics and Mathematics,
来源：
Functional Analysis and Its Applications | 2005年 / 39卷
关键词：
Koszul filtration; coherent algebra; Koszul algebra; Hilbert series;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study associative graded algebras that have a “complete flag” of cyclic modules with linear free resolutions, i.e., algebras over which there exist cyclic Koszul modules with any possible number of relations (from zero to the number of generators of the algebra). Commutative algebras with this property were studied in several papers by Conca and others. Here we present a noncommutative version of their construction.
引用
收藏
页码：120 / 130
页数：10
相关论文
共 31 条
  • [1] Conca A.(2001)Grobner flags and Gorenstein algebras Compositio Math. 129 95-121
  • [2] Rossi M. E.(2001)Koszul property for points in projective spaces Math. Scand. 89 201-216
  • [3] Valla G.(2000)Initially Koszul algebras Beitrage Algebra Geom. 41 455-467
  • [4] Conca A.(2000)Universally Koszul algebras Math. Ann. 317 329-346
  • [5] Trung N. V.(2002)Universally Koszul algebras defined by monomials Rend. Sem. Mat. Univ. Padova 107 1-5
  • [6] Valla G.(2000)Strongly Koszul algebras Math. Scand. 86 161-178
  • [7] Blum S.(1970)Koszul resolutions Trans. Amer. Math. Soc. 152 39-60
  • [8] Conca A.(1995)Relation between the Hilbert series of dual quadratic algebras does not imply Koszulity Funkts. Anal. Prilozhen. 29 83-87
  • [9] Conca A.(1995)On the characterization of Koszul algebras. Four counter-examples C. R. Acad. Sci. Paris, Ser. I 321 15-20
  • [10] Herzog J.(2001)On the Hilbert series of Koszul algebras Funkts Anal. Prilozhen. 35 64-69
1234