Projective ideals of skew polynomial rings over HNP rings


AKALAN E. , AYDOĞDU P. , MARUBAYASHI H., SARAÇ B. , UEDA A.

COMMUNICATIONS IN ALGEBRA, cilt.45, ss.2546-2556, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45 Konu: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/00927872.2016.1233216
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.2546-2556

Özet

Let R be an hereditary Noetherian prime ring (or, HNP-ring, for short), and let S = R[x; sigma] be a skew polynomial ring over R with sigma being an automorphism on R. The aim of the paper is to describe completely the structure of right projective ideals of R[x; sigma] where R is an HNP-ring and to obtain that any right projective ideal of S is of the form Xb[x; sigma], where X is an invertible ideal of S and b is a sigma-invariant eventually idempotent ideal of R.