Some chain conditions on weak incidence algebras

نویسندگان

  • Surjeet Singh
  • Fawzi A. Al-Thukair
چکیده

Let X be any partially ordered set, R any commutative ring, and T = I * (X,R) the weak incidence algebra of X over R. Let Z be a finite nonempty subset of X, L(Z) = {x ∈ X : x z for some z ∈ Z}, and M = Te Z. Various chain conditions on M are investigated. The results so proved are used to construct some classes of right perfect rings that are not left perfect.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2005  شماره 

صفحات  -

تاریخ انتشار 2005