Some chain conditions on weak incidence algebras | Zendy

Surjeet Singh | Zendy; Fawzi Al-Thukair | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Some chain conditions on weak incidence algebras

Author(s) -

Surjeet Singh,

Fawzi Al-Thukair

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2389

Subject(s) - mathematics , chain (unit) , incidence algebra , commutative ring , incidence (geometry) , ring (chemistry) , combinatorics , commutative property , set (abstract data type) , discrete mathematics , pure mathematics , algebra over a field , division algebra , geometry , algebra representation , physics , chemistry , astronomy , organic chemistry , computer science , programming language

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research