Rings with the Kazimirsky condition and rings with projective socle
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 2
Abstract
We construct 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.We describe the conditions under which a proper finite homomorphic image of a commutative Bezout domain is a ring with projective socle.
Authors and Affiliations
B. V. Zabavsky, O. M. Romaniv
Keywords
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- EP ID EP609508
- DOI 10.15330/ms.51.2.124-129
- Views 56
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