Decomposition of finitely generated projective modules over Bezout ring

Author B. V. Zabavsky, S. ². Bilavska
b_zabava@ukr.net, zosia_meliss@yahoo.co.uk
Ivan Franko National University of Lviv; Institute of Enterprise and Advanced Technologies, National University Lviv Polytechnic

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.
Keywords finitely generated module; canonical form; fractionally regular; principal ideal; semi-cancellative ring; Bezout ring
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Pages 104-107
Volume 40
Issue 1
Year 2013
Journal Matematychni Studii
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