Author(s)

R. H. Sallam

.

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.

Johns Ring; Artinian and Noetherian Rings

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.