Title : ( On the Comaximal (Ideal) Graph Associated With Amalgamated Algebra )
Authors: Zinat Rastgar , Kazem Khashyarmanesh , mozhgan afkhami ,
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Abstract
Let f : A → B be a ring homomorphism of the commutative rings A and B with identities. Let J be an ideal of B. The amalgamation of A with B along J with respect to f is a subring of A×B given by A ./fJ := {(a, f(a) +j) | a ∈ A , j ∈ J}.In this paper, we investigate the comaximal ideal graph and the comaximal graph of the amalgamated algebra A ./fJ. Inparticular, we determine the Jacobson radical of A ./fJ, characterize the diameter of the comaximal ideal graph of A ./fJ, and investigate the clique number as well as the chromatic number of this graph.
Keywords
comaximal graph; comaximal ideal graph; amalgamated algebra.
@article{paperid:1094053,
author = {Rastgar, Zinat and Khashyarmanesh, Kazem and مژگان افخمی},
title = {On the Comaximal (Ideal) Graph Associated With Amalgamated Algebra},
journal = {Discrete Mathematics Letters},
year = {2022},
volume = {11},
month = {October},
issn = {2664-2557},
pages = {38--45},
numpages = {7},
keywords = {comaximal graph; comaximal ideal graph; amalgamated algebra.},
}
%0 Journal Article
%T On the Comaximal (Ideal) Graph Associated With Amalgamated Algebra
%A Rastgar, Zinat
%A Khashyarmanesh, Kazem
%A مژگان افخمی
%J Discrete Mathematics Letters
%@ 2664-2557
%D 2022
