论文标题
在1-隔离和2隔离环上
On 1-semiregular and 2-semiregular rings
论文作者
论文摘要
在本文中，我们主要对两个问题感兴趣：“这是每个有限呈现的模块的交换环[公式：请参见文本] - 周期性（分别是[分别，[公式：参见文本] - periodic）？”。事实证明，这类环是半束环的特殊情况。因此，我们将它们称为[公式：参见文本] - 隔离和[公式：参见文本] - ememiregular环。我们根据各种古典概念来建立这些环的特征，并提供了几个此类环的例子。
In this paper, we are mainly interested in the two questions "which are the commutative rings on which every finitely presented modules is [Formula: see text]-periodic (respectively, [Formula: see text]-periodic)?". It is proved that these kinds of rings are particular cases of semiregular rings. So, we call them [Formula: see text]-semiregular and [Formula: see text]-semiregular rings, respectively. We establish characterizations of these rings in terms of various classical notions and we provide several examples of such rings.
