Generalized Morphic Rings and Their Applications
Generalized Morphic Rings and Their Applications
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DOI：
10.1080/00927870701354017
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发表时间：
2007-09
影响因子：
0.7
通讯作者：
Hai-yan Zhu;Nanqing Ding
中科院分区：
文献类型：
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作者：
Hai-yan Zhu;Nanqing Ding
如果对于R中的每个元素A，存在b∈R使得l(A) = R/Rb，其中l(A)表示R中A的左湮灭子，则环R称为“左广义态”。本文的目的是研究这些环。给出了几个例子。它们包括左形态环和左pp环。作为应用，定义并研究了这些环上的一些同调维数。
A ring R is called “left generalized morphic” if for every element a in R, there exists b ∈ R such that l(a)≅ R/Rb, where l(a) denotes the left annihilator of a in R. The aim of this article is to investigate these rings. Several examples are given. They include left morphic rings and left p.p. rings. As applications, some homological dimensions over these rings are defined and studied.