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Published January 1, 2017 | Version v1
Journal article Open

Projective ideals of skew polynomial rings over HNP rings

Creators

  • 1. Hacettepe Univ, Dept Math, Beytepe Campus, TR-06800 Ankara, Turkey
  • 2. Tokushima Bunri Univ, Fac Sci & Engn, Sanuki, Kagawa, Japan
  • 3. Shimane Univ, Dept Math, Matsue, Shimane, Japan

Description

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.

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