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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King Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi ArabiaKing Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi Arabia
Almahdi, Fuad Ali Ahmed
El Haddaoui, Younes
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Univ SM Ben Abdellah, Fac Sci & Technol Fez, Dept Math, Modelling & Math Struct Lab, Fes, MoroccoKing Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi Arabia
El Haddaoui, Younes
Mahdou, Najib
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Univ SM Ben Abdellah, Fac Sci & Technol Fez, Dept Math, Modelling & Math Struct Lab, Fes, MoroccoKing Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi Arabia
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Tarbiat Modares Univ, Dept Pure Math, Fac Math Sci, POB 14115-134, Tehran, IranTarbiat Modares Univ, Dept Pure Math, Fac Math Sci, POB 14115-134, Tehran, Iran
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Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New DelhiDepartment of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi
Yadav V.K.
Sharma R.K.
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Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New DelhiDepartment of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi