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Comaximal Intersection Graph of Ideals of Rings | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 1، مهر 2024، صفحه 147-157 اصل مقاله (295.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.23524.1481 | ||
| نویسندگان | ||
| K. K. Rajkhowa* 1؛ M. M. Roy2؛ M. Budhraja3 | ||
| 1Department of Mathematics Cotton University Guwahati-781001, INDIA | ||
| 2Department of Mathematics Bineswar Brahma Engineering College Kokrajhar-783370, INDIA | ||
| 3Department of Mathematics Shivaji College University of Delhi New Delhi-110027, INDIA | ||
| چکیده | ||
| 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 $I\cap J\neq0$. We study the connectedness of $CI(R)$. We also discuss independence number, clique number, domination number, chromatic number of $CI(R)$. | ||
| کلیدواژه‌ها | ||
| Maximal ideal؛ artinian ring؛ independence number؛ domination number | ||
| مراجع | ||
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