Some chain conditions on weak incidence algebras

Surjeet Singh and Fawzi Al-Thukair

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-9

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 = T e 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:198082

DOI: 10.1155/IJMMS.2005.2389

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