Projective ideals of skew polynomial rings over HNP rings |
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| Authors: | E. Akalan P. Aydoğdu H. Marubayashi B. Saraç A. Ueda |
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| Affiliation: | 1. Department of Mathematics, Hacettepe University, Ankara, Turkeyeakalan@hacettepe.edu.tr;3. Department of Mathematics, Hacettepe University, Ankara, Turkey;4. Faculty of Sciences and Engineering, Tokushima Bunri University, Sanuki, Kagawa, Japan;5. Department of Mathematics, Shimane University, Matsue, Shimane, Japan |
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| Abstract: | Let R be an hereditary Noetherian prime ring (or, HNP-ring, for short), and let S?=?R[x;σ] be a skew polynomial ring over R with σ being an automorphism on R. The aim of the paper is to describe completely the structure of right projective ideals of R[x;σ] where R is an HNP-ring and to obtain that any right projective ideal of S is of the form X𝔟[x;σ], where X is an invertible ideal of S and 𝔟 is a σ-invariant eventually idempotent ideal of R. |
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| Keywords: | Hereditary Noetherian prime ring projective ideal skew polynomial ring |
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