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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1972 Volume 89(131), Number 1(9), Pages 100–109 (Mi sm3220)

Rings with a free semigroup of invertible ideals

R. B. Treger


Abstract: 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.

UDC: 519.48

MSC: Primary 13G05; Secondary 13E05, 13F05, 13F15

Received: 11.08.1971


 English version:
Mathematics of the USSR-Sbornik, 1972, 18:1, 101–110

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