RELATIVE PROJECTIVE AND INJECTIVE DIMENSIONS

被引：9
|
作者：
Bennis, Driss [1 ]
Garcia Rozas, J. R. [2 ]
Oyonarte, Luis [2 ]
机构：
[1] Mohammed V Univ, Fac Sci, Dept Math, Rabat, Morocco
[2] Univ Almeria, Dept Matemat, Almeria 04071, Spain
来源：
COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 08期
关键词：
C-projective module; P-C-projective dimension; Resolution; MODULES;
D O I：
10.1080/00927872.2015.1065852
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the concepts of the (C)-projective and the I-C-injective dimensions of a module in the noncommutative case, weakening the condition of C being semidualizing. We give the relations between these dimensions and the C-relative Gorenstein dimensions (G(C)-projective and G(C)-injective dimensions) of the module. Finally, we compare, in some circumstances, the global (C)-projective dimension of a ring and the global dimension of the endomorphisms ring of C.
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页码：3383 / 3396
页数：14
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