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Co-intersection graph of subacts of an act | ||
Journal of Algebra and Related Topics | ||
دوره 10، شماره 2، اسفند 2022، صفحه 1-12 اصل مقاله (312.86 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2022.20275.1299 | ||
نویسندگان | ||
A. Delfan* 1؛ H. Rasouli2؛ K. Moradipour3 | ||
1Department of Mathematics, Khorramabad Branch, Islamic Azad University, Iran | ||
2Department of Mathematics, Science and Research Branch , Islamic Azad University, Tehran, Iran | ||
3Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran | ||
چکیده | ||
In this paper, we define the co-intersection graph $G(A)$ of an \(S\)-act \(A\) which is a graph whose vertices are non-trivial subacts of \(A\) and two distinct vertices \(B_1\) and \( B_2\) are adjacent if \(B_1 \cup B_2\neq A\). We investigate the relationship between the algebraic properties of an \(S\)-act \(A\) and the properties of the graph $G(A)$. | ||
کلیدواژهها | ||
S -act؛ co-intersection graph؛ subact | ||
آمار تعداد مشاهده مقاله: 649 تعداد دریافت فایل اصل مقاله: 408 |