تعداد نشریات | 7 |
تعداد شمارهها | 63 |
تعداد مقالات | 478 |
تعداد مشاهده مقاله | 559,022 |
تعداد دریافت فایل اصل مقاله | 390,535 |
Classification of rings with toroidal annihilating-ideal graph | ||
Communications in Combinatorics and Optimization | ||
مقاله 1، دوره 3، شماره 2، زمستان 2018، صفحه 93-119 اصل مقاله (328.95 K) | ||
نوع مقاله: Original paper | ||
شناسه دیجیتال (DOI): 10.22049/cco.2018.26060.1072 | ||
نویسندگان | ||
Selvakumar Krishnan ![]() | ||
1Department of Mathematics Manonmaniam Sundaranar University Tirunelveli | ||
2Manonmaniam Sundaranar University | ||
چکیده | ||
Let R be a non-domain commutative ring with identity and A(R) be the set of non-zero ideals with non-zero annihilators. We call an ideal I of R, an annihilating-ideal if there exists a non-zero ideal J of R such that IJ = (0). The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A(R) and two distinct vertices I and J are adjacent if and only if IJ = (0). In this paper, we characterize all commutative Artinian nonlocal rings R for which AG(R) has genus one. | ||
کلیدواژهها | ||
annihilating-ideal؛ planar؛ genus؛ local ring؛ annihilating-ideal graph | ||
آمار تعداد مشاهده مقاله: 588 تعداد دریافت فایل اصل مقاله: 430 |