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Zero-Divisor Graphs in Polynomial Rings by Oliver Wekesa is a document available to read on EtoBox.

The paper investigates the properties of the complement of the total zero-divisor graphs of polynomial and power series rings over commutative rings with identity that are not integral domains. It establishes conditions under which the connectedness of the complement of the zero-divisor graph of a ring implies the connectedness of the complements of its polynomial and power series extensions, and compares their diameters and radii when both graphs are connected. The authors provide several results and examp

Author
Oliver Wekesa
Language
EN