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 APM  Vol.2 No.1 , January 2012
A Note on the (Faith-Menal) Counter Example
R. H. Sallam
Abstract: Faith-Menal counter example is an example (unique) of a right John’s ring which is not right artinian In this paper we show that the ring T which considered as an example of a right Johns ring in the (Faith-Menal) Counter Example is also artinian. The conclusion is that the unique counter example that says a right John’s ring can not be right artinian is false and the right noetherian ring with the annihilator property rl(A) = A may be artinian.
Keywords: Johns Ring; Artinian and Noetherian Rings
Cite this paper: R. Sallam, "A Note on the (Faith-Menal) Counter Example," Advances in Pure Mathematics, Vol. 2 No. 1, 2012, pp. 39-40. doi: 10.4236/apm.2012.21009.
References

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