On (quasi-)morphic property of skew polynomial rings
On (quasi-)morphic property of skew polynomial rings
The main objective of this paper is to study (quasi-)morphic property of skew polynomial rings. Let $R$ be a ring, $\sigma$ be a ring homomorphism on $R$ and $n\geq 1$. We show that $R$ inherits the quasi-morphic property from $R[x;\sigma]/(x^{n+1})$. It is also proved that the morphic property over $R[x;\sigma]/(x^{n+1})$ …