Geodesic
Computation of the mapping of factorization by the radical for $K^+_0$ of the endomorphism ring
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 237-257

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In the paper, 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. 
@article{ZNSL_1999_265_a17,
     author = {D. M. Lebedinskii},
     title = {Computation of the mapping of factorization by the radical for $K^+_0$ of the endomorphism ring},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {237--257},
     publisher = {mathdoc},
     volume = {265},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a17/}
}
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D. M. Lebedinskii. Computation of the mapping of factorization by the radical for $K^+_0$ of the endomorphism ring. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 237-257. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a17/