Some aspects of (ω

被引:3
|
作者
Sikander, Fahad [1 ]
Hasan, Ayazul [2 ]
机构
[1] Saudi Elect Univ, Coll Sci & Theoret Studies, Jeddah Branch, Jeddah, Saudi Arabia
[2] Jazan Univ, Coll Appl Ind Technol, Jazan, Saudi Arabia
关键词
QTAG-modules; (omega + 1)-Projective modules; Separable modules;
D O I
10.1007/s13370-021-00879-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove that the (omega+1)-projective Sigma-modules are direct sums of countably generated modules each of which has length at most (omega+1). We also give an example that this is not true for all other (omega+k)-projectives with 2 <= k < omega. Certain related assertions are established as well. These results are then used to discuss the class of highly essentially finitely indecomposable modules.
引用
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页码:1033 / 1041
页数:9
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