TY - JOUR
T1 - Ore Extensions over Weakly 2-Primal Rings
AU - Wang , Yao
AU - Jiang , Meimei
AU - Ren , Yanli
JO - Communications in Mathematical Research 
VL - 1
SP - 70
EP - 82
PY - 2021
DA - 2021/03
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.01.05
UR - https://global-sci.org/intro/article_detail/cmr/18664.html
KW - $(α, δ)$-compatible ring, weakly 2-primal ring, weakly semicommutative
ring, nil-semicommutative ring, Ore extension.
AB - <p style="text-align: justify;">A weakly 2-primal ring is a common generalization of a semicommutative
ring, a 2-primal ring and a locally 2-primal ring. In this paper, we investigate Ore
extensions over weakly 2-primal rings. Let $α$ be an endomorphism and $δ$ an $α$-derivation of a ring $R$. We prove that (1) If $R$ is an $(α, δ)$-compatible and weakly
2-primal ring, then $R[x; α, δ]$ is weakly semicommutative; (2) If $R$ is $(α, δ)$-compatible,
then $R$ is weakly 2-primal if and only if $R[x; α, δ]$ is weakly 2-primal.</p>