Ideals in \((\mathcal{Z}^{+},\leq_{D})\)

• Date: 2018
• Main Author: Sagi, Sankar
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Partial Order,Lattice,Semi Lattice,Convolution,Ideal; 06B10,11A99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/760
• Journal Title: Algebra and Discrete Mathematics

A convolution  is a mapping \(\mathcal{C}\) of the set \(\mathcal{Z}^{+}\) of positive integers into the set \(\mathcal{P}(\mathcal{Z}^{+})\) of all subsets of \(\mathcal{Z}^{+}\) such that every member of \(\mathcal{C}(n)\) is a divisor of \(n\). If for any \(n\), \(D(n)\) is the set of all positiv...