Co-intersection graph of submodules of a module

• Дата: 2016
• Автори: Mahdavi, Lotf Ali, Talebi, Yahya
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: co-intersection graph; clique number; chromatic number; 05C15; 05C25; 05C69; 16D10
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/107
• Назва журналу: Algebra and Discrete Mathematics

Let \(M\) be a unitary left \(R\)-module where \(R\) is a ring with identity. The co-intersection graph of proper submodules of \(M\), denoted by \(\Omega(M)\), is an undirected simple graph whose the vertex set \(V(\Omega)\) is a set of all non-trivial submodules of \(M\) and there is an edge betwe...