TY - JOUR
T1 - Generalized PP and Zip Subrings of Matrix Rings
AU - Liu , Zhongkui
AU - Qiao , Husheng
JO - Communications in Mathematical Research 
VL - 3
SP - 193
EP - 202
PY - 2021
DA - 2021/05
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19149.html
KW - generalized right PP-ring, PP-ring, right zip ring.
AB - <p style="text-align: justify;">Let $R$ be an abelian ring. We consider a special subring $A_n$, relative to $α_2, · · · , α_n ∈ R{\rm&nbsp;End}(R)$, 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.</p>