Geodesic
Rings with a~free semigroup of invertible ideals
Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 101-110

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In this paper commutative rings with a free semigroup of invertible ideals are characterized. It is shown, in particular, that a domain is a ring in which a principal ideal can be decomposed into a product of prime ideals. Bibliography: 8 titles. 
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     author = {R. B. Treger},
     title = {Rings with a~free semigroup of invertible ideals},
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R. B. Treger. Rings with a~free semigroup of invertible ideals. Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 101-110. http://geodesic.mathdoc.fr/item/SM_1972_18_1_a6/