On SAP-rings

Wu Zhixiang

On SAP-rings

交换代数 2008-09-13 v1 环与代数

作者: Wu Zhixiang

摘要

The rings whose simple right modules are absolutely pure are called right $SAP$ -rings. We give a new characterization of right $SAP$ rings, right $V$ rings, and von Neumann regular rings. We also obtain a new decomposition theory of right selfinjective von Neumann regular rings. The relationships between $SAP$ -rings, $V$ -rings, and von Neumann regular rings are explored. Some recent results obtained by Faith are generalized and the results of Wu-Xia are strengthened.

关键词

commutative ring theory

引用

@article{arxiv.math/0606158,
  title  = {On SAP-rings},
  author = {Wu Zhixiang},
  journal= {arXiv preprint arXiv:math/0606158},
  year   = {2008}
}

备注

13 pages, no figures

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