A study of cousin complexes through the dualizing complexes

被引：8

作者：

Dibaei, MT ^{[1
]}

机构：

[1] Teacher Training Univ, Mosaheb Inst Math, Tehran 19614, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 01期

关键词：

cousin complexes; dualizing complexes; Gorenstein modules;

D O I：

10.1081/AGB-200040926

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the Cousin complex of certain modules, we investigate the finiteness of cohomology modules, the local duality property, and the injectivity of its terms. The existence of canonical modules of Noetherian non-local rings and the Cousin complexes of them with respect to the height filtration are discussed.

引用

页码：119 / 132

页数：14

共 22 条

[1] ON THE ENDOMORPHISM RING OF THE CANONICAL MODULE [J].

AOYAMA, Y ;

GOTO, S .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1985, 25 (01) :21-30

[2] GROTHENDIECK LOCAL DUALITY THEOREM [J].

BIJANZADEH, MH ;

SHARP, RY .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1979, 85 (MAY) :431-437

[3]

Bruns W., 1996, COHEN MACAULAY RINGS

[4] The structure of dualizing complex for a ring which is (S2) [J].

Dibaei, MT ;

Tousi, M .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1998, 38 (03) :503-516

[5] A generalization of the dualizing complex structure and its applications [J].

Dibaei, MT ;

Tousi, M .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2001, 155 (01) :17-28

[6]

FOSSUM R, 1975, PUBL MATH IHES, V0045, P00193

[7]

HALL JE, 1979, Q J MATH OXFORD, V165, P21

[8]

Herzog J., 1971, Lecture Notes in Math., V238

[9]

KAWASAKI T, FINITENESS COUSIN HO

[10]

MATSUMURA H, 1992, COMMUTATIVE RING THE

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