Factorization of elements in noncommutative rings, I

• Date: 2016
• Main Authors: Facchini, Alberto, Fassina, Martino
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: Divisibility; Factorization; Right irreducible element; 16U30; 16B99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/160
• Journal Title: Algebra and Discrete Mathematics

We extend the classical theory of factorization in noncommutative integral domains to the more general classes of right saturated rings and right cyclically complete rings. Our attention is focused, in particular, on the factorizations of right regular elements into left irreducible elements. We stu...