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Decomposition of finitely generated projective modules over Bezout ring
Journal: Matematychni Studii (Vol.40, No. 1)Publication Date: 2013-07-01
Authors : Zabavsky B. V.; Bilavska S. І.;
Page : 104-107
Keywords : finitely generated module; canonical form; fractionally regular; principal ideal; semi-cancellative ring; Bezout ring;
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Abstract
It is shown that a commutative Bezout ring $R$ of stable range 2 is an elementary divisor ring if and only if for each ideal $I$ every finitely generated projective $R/I$-module is a direct sum of principal ideals generated by idempotents.
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Last modified: 2014-01-13 20:10:12