On Skew Triangular Matrix Rings |
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| Authors: | Weiliang Wang Yao Wang & Yanli Ren |
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| Affiliation: | 1. School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072;2. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044;3. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing, 211171 |
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| Abstract: | Letαbe a nonzero endomorphism of a ring R, n be a positive integer and Tn(R,α) be the skew triangular matrix ring. We show that some properties related to nilpotent elements of R are inherited by Tn(R,α). Meanwhile, we determine the strongly prime radical, generalized prime radical and Behrens radical of the ring R[x;α]/(xn), where R[x;α] is the skew polynomial ring. |
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| Keywords: | skew triangular matrix ring skew polynomial ring weak zip property strongly prime radical generalized prime radical |
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