论文标题

关于不符合有限内部交换属性的提升模块

On lifting modules which do not satisfy the finite internal exchange property

论文作者

Shibata, Yoshiharu

论文摘要

在本文中,我们考虑了一个空旷的问题:任何提升模块是否满足有限的内部交换属性?我们为空心和统一模块的平方提出表征,并将上述问题否定为该结果的应用。

In this paper, we consider the open problem: does any lifting module satisfy the finite internal exchange property? We give characterizations for the square of a hollow and uniform module to be lifting, and solve the above problem negatively as an application of this result.

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