English

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

Rings and Algebras 2020-06-16 v1

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.

Keywords

Cite

@article{arxiv.2006.08118,
  title  = {On lifting modules which do not satisfy the finite internal exchange property},
  author = {Yoshiharu Shibata},
  journal= {arXiv preprint arXiv:2006.08118},
  year   = {2020}
}

Comments

8 pages

R2 v1 2026-06-23T16:19:20.952Z