On Weakly P.P. Rings

On Weakly P.P. Rings

Year:    2015

Author:    Yueming Xiang, Ouyang Lunqun, Shugui Wang

Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 362–372

Abstract

We introduce, in this paper, the right weakly p.p. rings as the generalization of right p.p. rings. It is shown that many properties of the right p.p. rings can be extended onto the right weakly p.p. rings. Relative examples are constructed. As applications, we also characterize the regular rings and the semisimple rings in terms of the right weakly p.p. rings.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2015.04.08

Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 362–372

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    weakly p.p. ring $GP$-injective module regular ring.

Author Details

Yueming Xiang

Ouyang Lunqun

Shugui Wang