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COMAXIMAL INTERSECTION GRAPH OF IDEALS OF RINGS.

Authors :
ROY, M. M.
BUDHRAJA, M.
RAJKHOWA, K. K.
Source :
Journal of Algebra & Related Topics; Jul2024, Vol. 12 Issue 1, p147-157, 11p
Publication Year :
2024

Abstract

The comaximal intersection graph CI(R) of ideals of a ring R is an undirected graph whose vertex set is the collection of all non-trivial (left) ideals of R and any two vertices I and J are adjacent if and only if I + J = R and I ∩ J 6= 0. We study the connectedness of CI(R). We also discuss independence number, clique number, domination number, chromatic number of CI(R). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
23453931
Volume :
12
Issue :
1
Database :
Complementary Index
Journal :
Journal of Algebra & Related Topics
Publication Type :
Academic Journal
Accession number :
178449960