Diagonal reduction of matrices over Bezout rings of stable range 1 with the Kazimirsky condition

Autor:	Zabavsky, Bohdan, Romaniv, Oleh
Rok vydání:	2019
Předmět:	Mathematics - Rings and Algebras Mathematics - K-Theory and Homology 06F20 13F99
Druh dokumentu:	Working Paper
Popis:	We constuct the theory of diagonalizability for matrices over Bezout rings of stable range 1 with the Kazimirsky condition. It is shown that a ring of stable range 1 with the right (left) Kazimirsky condition is an elementary divisor ring if and only if it is a duo ring.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.10049 Zobrazit plný text záznamu View this record from Arxiv