Characterization of regular convolutions

• Date: 2018
• Main Author: Sagi, Sankar
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: semilattice; lattice; convolution; multiplicative; co-maximal; prime filter; cover; regular convolution; 06B10,11A99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/80
• Journal Title: Algebra and Discrete Mathematics

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