SKEW POLYNOMIAL RINGS SATISFYING $R$-BND PROPERTY

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Published: Jun 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4533
Keywords:
simple right Noetherian ring number of generators finitely generated torsion A-module finite Krull dimension skew polynomial ring

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REFAAT M. SALEM
Department of Mathematics, Faculty of Science, Al-AZHAR University, Nasr City, Cairo, Egypt.

Abstract




In this paper we show that, a prime right Noetherian ring $A$ satisfies $T(A) = n <\infty$ iff $A[x, \sigma]$ satisfies $r$-Bnd $(n + 1)$.




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How to Cite
SALEM, R. M. (1992). SKEW POLYNOMIAL RINGS SATISFYING $R$-BND PROPERTY. Tamkang Journal of Mathematics, 23(2), 109–116. https://doi.org/10.5556/j.tkjm.23.1992.4533
Issue
Vol. 23 No. 2 (1992)
Section
Papers
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