Generalization of primal superideals

• Date: 2016
• Main Author: Jaber, Ameer
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: primal superideal; \(\phi\)-\(P\)-primal superideal; \(\phi\)-prime superideal; 13A02; 16D25; 16W50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/26
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a commutative super-ring with unity \(1\not=0\). A proper superideal of \(R\) is a superideal \(I\) of \(R\) such that \(I\not=R\). Let \(\phi : \mathfrak{I}(R)\rightarrow\mathfrak{I}(R)\cup\{\emptyset\}\) be any function, where \(\mathfrak{I}(R)\) denotes the set of all proper superide...