Let R be a ring with identity, sigma be an automorphism, and delta be a derivation of R. In this article, we present some necessary and sufficient conditions on R such that the skew polynomial rings R[x, x(-1); sigma], R((x; sigma)), and R[x; delta] are prime or semiprime.
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Kyung Hee Univ, Dept Math, Seoul 131701, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 131701, South KoreaHanbat Natl Univ, Coll Liberal Arts & Sci, Taejon 305719, South Korea
Hong, Chan Yong
Kim, Nam Kyun
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Hanbat Natl Univ, Coll Liberal Arts & Sci, Taejon 305719, South KoreaHanbat Natl Univ, Coll Liberal Arts & Sci, Taejon 305719, South Korea
Kim, Nam Kyun
Lee, Yang
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Pusan Natl Univ, Dept Math Educ, Pusan 609735, South KoreaHanbat Natl Univ, Coll Liberal Arts & Sci, Taejon 305719, South Korea
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Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South KoreaKyung Hee Univ, Dept Math, Seoul 02447, South Korea
Hong, Chan Yong
Kim, Nam Kyun
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Hanbat Natl Univ, Sch Basic Sci, Daejeon 34158, South KoreaKyung Hee Univ, Dept Math, Seoul 02447, South Korea
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Kyung Hee Univ, Dept Math, Seoul 131701, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 131701, South KoreaKyung Hee Univ, Dept Math, Seoul 131701, South Korea
Hong, Chan Yong
Kim, Nam Kyun
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Hanbat Natl Univ, Coll Liberal Arts, Taejon 305719, South KoreaKyung Hee Univ, Dept Math, Seoul 131701, South Korea
Kim, Nam Kyun
Lee, Yang
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Pusan Natl Univ, Dept Math Educ, Pusan 609735, South KoreaKyung Hee Univ, Dept Math, Seoul 131701, South Korea
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School of Electrical Engineering and Automation, Tianjin UniversitySchool of Electrical Engineering and Automation, Tianjin University
Wang Wei-liang
Wang Yao
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School of Mathematics and Statistics, Nanjing University of Information Science and TechnologySchool of Electrical Engineering and Automation, Tianjin University
Wang Yao
Ren Yan-li
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School of Information Engineering, Nanjing Xiaozhuang UniversitySchool of Electrical Engineering and Automation, Tianjin University