@Article{CMR-26-3, author = {Zhongkui, Liu and Qiao, Husheng}, title = {Generalized PP and Zip Subrings of Matrix Rings}, journal = {Communications in Mathematical Research }, year = {2010}, volume = {26}, number = {3}, pages = {193--202}, abstract = {

Let $R$ be an abelian ring. We consider a special subring $A_n$, relative to $α_2, · · · , α_n ∈ R{\rm End}(R)$, of the matrix ring $M_n(R)$ over a ring $R$. It is shown that the ring $A_n$ is a generalized right PP-ring (right zip ring) if and only if the ring $R$ is a generalized right PP-ring (right zip ring). Our results yield more examples of generalized right PP-rings and right zip rings.

}, issn = {2707-8523}, doi = {https://doi.org/2010-CMR-19149}, url = {https://global-sci.com/article/81906/generalized-pp-and-zip-subrings-of-matrix-rings} }