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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 1, Pages 101–110
DOI: https://doi.org/10.1070/SM1972v018n01ABEH001616 (Mi sm3220) 		 
Rings with a free semigroup of invertible ideals

R. B. Treger
English version PDF (656 kB)
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DOI: https://doi.org/10.1070/SM1972v018n01ABEH001616
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.
Received: 11.08.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 1(9), Pages 100–109
Bibliographic databases:
UDC: 519.48
MSC: Primary 13G05; Secondary 13E05, 13F05, 13F15
Language: English
Original paper language: Russian
Citation: R. B. Treger, “Rings with a free semigroup of invertible ideals”, Mat. Sb. (N.S.), 89(131):1(9) (1972), 100–109; Math. USSR-Sb., 18:1 (1972), 101–110
Citation in format AMSBIB
\Bibitem{Tre72}
\by R.~B.~Treger
\paper Rings with a~free semigroup of invertible ideals
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 1(9)
\pages 100--109
\mathnet{http://mi.mathnet.ru/sm3220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=309928}
\zmath{https://zbmath.org/?q=an:0254.13020}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 1
\pages 101--110
\crossref{https://doi.org/10.1070/SM1972v018n01ABEH001616}
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    Abstract page:222
    Russian version PDF:94
    English version PDF:5
    References:41
     
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