Abstract
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 = Tez. 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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More From: International Journal of Mathematics and Mathematical Sciences
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