Some properties of the nilradical and non-nilradical graphs over finite commutative ring \(\mathbb{Z}_n\)

• Дата: 2018
• Автори: Chandra, Shalini, Prakash, Om, Suthar, Sheela
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: commutative ring; zero-divisor graph; nilradical graph; non-nilradical graph; chromatic number; planar graph; energy of a graph; 13A10; 05C10; 05C15; 05C25
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/54
• Назва журналу: Algebra and Discrete Mathematics

Let \(\mathbb{Z}_n\) be the finite commutative ring of residue classes modulo \(n\) with identity and \(\Gamma(\mathbb{Z}_n)\) be its zero-divisor graph. In this paper, we investigated some properties of nilradical graph, denoted by \(N(\mathbb{Z}_n)\) and non-nilradical graph, denoted by \(\Omega(\...