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Momtahan, E. (2011). On Semi-artinian Weakly Co-semisimple Modules. Bulletin of the Iranian Mathematical Society, 37(No. 3), 149-157.
E. Momtahan. "On Semi-artinian Weakly Co-semisimple Modules". Bulletin of the Iranian Mathematical Society, 37, No. 3, 2011, 149-157.
Momtahan, E. (2011). 'On Semi-artinian Weakly Co-semisimple Modules', Bulletin of the Iranian Mathematical Society, 37(No. 3), pp. 149-157.
Momtahan, E. On Semi-artinian Weakly Co-semisimple Modules. Bulletin of the Iranian Mathematical Society, 2011; 37(No. 3): 149-157.

On Semi-artinian Weakly Co-semisimple Modules

Article 10, Volume 37, No. 3, September 2011, Page 149-157  XML PDF (252 K)
Document Type: Research Paper
Author
E. Momtahan
Receive Date: 28 November 2009,  Revise Date: 15 March 2012,  Accept Date: 15 February 2010 
Abstract
We show that every semi-artinian module which is contained in a
direct sum of
finitely presented modules in $si[M]$, is weakly co-semisimple if and only if it is regular in $si[M]$.
As a consequence, we observe that every
semi-artinian ring is regular in the sense of von Neumann if
and only if its simple modules are $FP$-injective.
Keywords
Semi-artinian module; weakly co-semisimple module
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