Nearly extremal Cohen-Macaulay and Gorenstein algebras

被引：5

作者：

Kumar, Chanchal ^{[1
]}

Singh, Pavinder ^{[1
]}

Kumar, Ashok ^{[1
]}

机构：

[1] Univ Jammu, Dept Math, Jammu 180006, India

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 75卷 / 02期

关键词：

D O I：

10.1017/S0004972700039149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper study nearly extremal Cohen-Macaulay and Gorenstein algebras and characterise them in terms of their minimal free resolutions. Explicit bounds on their graded Betti numbers and their multiplicities are obtained.

引用

页码：211 / 220

页数：10

共 50 条

[41] COHEN-MACAULAY TYPES OF COHEN-MACAULAY COMPLEXES
HIBI, T
JOURNAL OF ALGEBRA, 1994, 168 (03) : 780 - 797
[42] THE COHEN-MACAULAY TYPE OF COHEN-MACAULAY RINGS
AUSLANDER, M
REITEN, I
ADVANCES IN MATHEMATICS, 1989, 73 (01) : 1 - 23
[43] On finitely graded Iwanaga-Gorenstein algebras and the stable categories of their (graded) Cohen-Macaulay modules
Minamoto, Hiroyuki
Yamaura, Kota
ADVANCES IN MATHEMATICS, 2020, 373
[44] Derived equivalences for Cohen-Macaulay Auslander algebras
Pan, Shengyong
JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (02) : 355 - 363
[45] APPLICATIONS OF THE EXISTENCE OF BIG COHEN-MACAULAY ALGEBRAS
HOCHSTER, M
HUNEKE, C
ADVANCES IN MATHEMATICS, 1995, 113 (01) : 45 - 117
[46] COHEN-MACAULAY REES-ALGEBRAS AND THEIR SPECIALIZATION
EISENBUD, D
HUNEKE, C
JOURNAL OF ALGEBRA, 1983, 81 (01) : 202 - 224
[47] Homological properties of balanced Cohen-Macaulay algebras
Mori, I
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (03) : 1025 - 1042
[48] Derived equivalences and Cohen-Macaulay Auslander algebras
Pan, Shengyong
Zhang, Xiaojin
FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (02) : 323 - 338
[49] CERTAIN GRADED ALGEBRAS ARE ALWAYS COHEN-MACAULAY
VALLA, G
JOURNAL OF ALGEBRA, 1976, 42 (02) : 537 - 548
[50] PROJECTIVE-RESOLUTIONS OF COHEN-MACAULAY ALGEBRAS
EISENBUD, D
RIEMENSCHNEIDER, O
SCHREYER, FO
MATHEMATISCHE ANNALEN, 1981, 257 (01) : 85 - 98

← 1 2 3 4 5 →