مرجـع دانـش پارس

نوع فایل :PDF

تعداد صفحات :6

سال انتشار :1394

چکیده

Let R be an associative ring with unity. (Nasr-Isfahani,4102) proved that if R be an ACCPR-ring, : RR a rigid automorphism of R and  an  -derivation of R and R satisfies the ACC on right annihilators, then R[x;] is an ACCPR-ring. The main result in this note is an example on the ring of a compatible ring like S such that satisfies the ACC on right annihilators but is not ACCPR-ring. Also, we show that polynomial ring S[x] is not ACCPR-ring.

واژگان کلیدی

ACCPR-ring, Compatible ring, Rigid ring, ACC on annihilators