Matrix approach to noncommutative stably free modules and Hermite rings

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2014
• Hauptverfasser: Lezama, O., Gallego, C.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2014
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/153350
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Matrix approach to noncommutative stably free modules and Hermite rings / O. Lezama, C. Gallego // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 109–137. — Бібліогр.: 26 назв. — англ.

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...