Reduction of Matrices over Bezout Rings of Stable Rank not Higher than 2

• Datum: 2003
• Hauptverfasser: Zabavskii, B. V., Забавський, Б. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3929
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove that a commutative Bezout ring is an Hermitian ring if and only if it is a Bezout ring of stable rank 2. It is shown that a noncommutative Bezout ring of stable rank 1 is an Hermitian ring. This implies that a noncommutative semilocal Bezout ring is an Hermitian ring. We prove that the Bezo...