Abstract
The mapping of factorization by the radical is computed for the semigroup of projective, finitely generated modules over the endomorphism ring of an almost completely decomposable torsion-free Abelian group of finite rank that is divisible by almost all prime numbers. Also, an answer is given to the question concerning the collections of groups of rank 1 for which one can construct an almost completely decomposable group, indecomposable as an object in \(\bar M^p\), by adding a generator. Bibliography: 4 titles.
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REFERENCES
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Lebedinskii, D.M. Computation of the Mapping of Factorization by the Radical for K +0 of the Endomorphism Ring. Journal of Mathematical Sciences 112, 4375–4385 (2002). https://doi.org/10.1023/A:1020355205598
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DOI: https://doi.org/10.1023/A:1020355205598