نویسندگان | K. Paykan - M. Habibi - H. Arianpoor |
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نشریه | Journal of Algebra and its Applications |
نوع مقاله | Full Paper |
تاریخ انتشار | May 2024 |
رتبه نشریه | ISI |
نوع نشریه | چاپی |
کشور محل چاپ | سنگاپور |
نمایه نشریه | ISI |
چکیده مقاله
Let $R$ be an arbitrary ring equipped with an automorphism $\alpha$
and an $\alpha$-derivation $\delta$. In this paper, we study on the
relationship between the piecewise prime property of a ring $R$ and
these of the skew inverse Laurent series ring $R((x^{-1};
\alpha,\delta))$ and related rings. Furthermore, for a piecewise
prime ring, we determine a large class of rings which have a
generalized triangular matrix representation for which the diagonal
rings are prime. Our results extend and unify many available results.
Examples for illustration and delimitation of the theory are provided.