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arXiv · 2006.08118

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

Yoshiharu Shibata
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Abstract

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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Yoshiharu Shibata. 2020-06-15. On lifting modules which do not satisfy the finite internal exchange property. https://arxiv.org/abs/2006.08118

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