Nonsingular Semiperfect CS-Rings

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• 作者：Barthwal ; S. ; Jain ; S. K. ; Kanwar ; P. ; Ló ; pez-Permouth ; Sergio R.
• 刊名：Journal of Algebra
• 出版年：1998
• 出版时间：May 15, 1998
• 年：1998
• 卷：203
• 期：2
• 页码：361-373
• 全文大小：148 K

文摘

In this paper the structure of right nonsingular semiperfect right CS-rings has been considered. Under certain conditions these rings are shown to be direct sums of triangular blocked matrix rings over Ore domains. As a by-product it follows that then×nmatrix ring over a local domainD,n>1, is a right CS-ring if and only ifDis a right and left valuation domain.