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- W2133618825 abstract "We observe the basic structure of the products of coefficients of nilpotent (left) polynomials in skew polynomial rings. This study consists of a process to extend a well-known result for semi-Armendariz rings. We introduce the concept of <TEX>${alpha}$</TEX>-skew n-semi-Armendariz ring, where <TEX>${alpha}$</TEX> is a ring endomorphism. We prove that a ring R is <TEX>${alpha}$</TEX>-rigid if and only if the n by n upper triangular matrix ring over R is <TEX>$bar{alpha}$</TEX>-skew n-semi-Armendariz. This result are applicable to several known results." @default.
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- W2133618825 date "2013-12-30" @default.
- W2133618825 modified "2023-09-27" @default.
- W2133618825 title "ON COEFFICIENTS OF NILPOTENT POLYNOMIALS IN SKEW POLYNOMIAL RINGS" @default.
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- W2133618825 doi "https://doi.org/10.11568/kjm.2013.21.4.421" @default.
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