Geodesic
Almost completely decomposable groups and rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 3-27

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Realization and classification theorems are obtained for a class of commutative rings with identities and almost completely decomposable additive structures. A necessary and sufficient condition for the considered rings to have isomorphic additive structures is also found. 
@article{FPM_2006_12_8_a0,
     author = {E. A. Blagoveshchenskaya},
     title = {Almost completely decomposable groups and rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--27},
     publisher = {mathdoc},
     volume = {12},
     number = {8},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a0/}
}
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E. A. Blagoveshchenskaya. Almost completely decomposable groups and rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 3-27. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a0/