Comaximal Intersection Graph of Ideals of Rings
Publish place: The Journal of Algebra and Related Topics، Vol: 12، Issue: 1
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JART-12-1_012
تاریخ نمایه سازی: 31 تیر 1403
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\cap J\neq۰. We study the connectedness of CI(R). We also discuss independence number, clique number, domination number, chromatic number of CI(R).
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Authors
K. Rajkhowa
Department of Mathematics Cotton University Guwahati-۷۸۱۰۰۱, INDIA
M. M. Roy
Department of Mathematics Bineswar Brahma Engineering College Kokrajhar-۷۸۳۳۷۰, INDIA
M. Budhraja
Department of Mathematics Shivaji College University of Delhi New Delhi-۱۱۰۰۲۷, INDIA