JP Journal of Algebra, Number Theory and Applications
Volume 41, Issue 1, Pages 137 - 145
(January 2019) http://dx.doi.org/10.17654/NT041010137 |
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EXTENSIONS OF VON NEUMANN LOCAL RINGS
Susan F. El-Deken and A. Ageeb
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Abstract: This paper introduces an extension of von Neumann local rings (called EVNL-ring). Among other results, we show that is an EVNL-ring for all integers the direct product of EVNL-rings is an EVNL-ring and the class of EVNL-rings coincides with the class of C-rings. Also, we study the case when a formal power series ring is an EVNL-ring. |
Keywords and phrases: VNL-ring, EVNL-ring, C-ring, pm-ring.
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