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Projective modules are determined by their radical factors
Authors:Pavel P&#x;íhoda
Institution:

aCharles University, Department of Algebra, Sokolovská 83, 186 75 Prague, Czech Republic

Abstract:We show that two infinitely generated projective modules are isomorphic whenever they have isomorphic factors modulo their Jacobson radical. Some applications of the result to semilocal rings with indecomposable non-finitely generated projective modules are given.
Keywords:16D40  16D70
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