an:01733466
Zbl 1024.16016
Kim, Hong Kee
Some remarks on skew polynomial rings over reduced rings
EN
EAMJ, East Asian Math. J. 17, No. 2, 275-286 (2001).
00079445
2001
j
16S36 16P70 16D10 16D25
Baer rings; right annihilators; idempotents; reduced rings; skew polynomial rings
A ring \(R\) is called Baer if the right annihilator of every nonempty subset of \(R\) is generated, as a right ideal, by an idempotent of \(R\). For a reduced ring \(R\) and a monomorphism \(\alpha\) of \(R\) with \(\alpha(P)\subseteq P\) for any minimal prime ideal \(P\) of \(R\), it is shown that the skew polynomial ring \(R[x;\alpha]\) is Baer if and only if \(R\) is Baer.
J.K.Park (Pusan)