TY - JOUR
T1 - On Skew Triangular Matrix Rings
AU - Wang , Weiliang
AU - Wang , Yao
AU - Ren , Yanli
JO - Communications in Mathematical Research 
VL - 3
SP - 259
EP - 271
PY - 2021
DA - 2021/05
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.03.08
UR - https://global-sci.org/intro/article_detail/cmr/18897.html
KW - skew triangular matrix ring, skew polynomial ring, weak zip property,
strongly prime radical, generalized prime radical.
AB - <p style="text-align: justify;">Let $α$ be a nonzero endomorphism of a ring $R$, $n$ be a positive integer and $T_n(R, α)$ be the skew triangular matrix ring. We show that some properties related
to nilpotent elements of $R$ are inherited by $T_n(R, α)$. Meanwhile, we determine the
strongly prime radical, generalized prime radical and Behrens radical of the ring $R[x; α]/(x^n)$, where $R[x; α]$ is the skew polynomial ring.</p>