Matrix approach to noncommutative stably free modules and Hermite rings

• Date: 2018
• Main Authors: Lezama, Oswaldo, Gallego, Claudia
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: noncommutative rings and modules; stably free modules; Hermite rings; matrix methods in homological algebra; 16D40; 15A21
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1050
• Journal Title: Algebra and Discrete Mathematics

In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of ring...