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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 6, Pages 1357–1375
DOI: https://doi.org/10.1070/IM1967v001n06ABEH000625 (Mi im2595) 		 
This article is cited in 10 scientific papers (total in 11 papers)

On hereditary and bass orders

Yu. A. Drozd, V. V. Kirichenko, A. V. Roiter
English version PDF (1043 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM1967v001n06ABEH000625
Abstract: A criterion is given for orders over Dedekind rings to be hereditary. It is proved that every finitely generated torsionfree module over a Bass order, i.e., an order of which every superring has injective dimension one, splits into a direct sum of ideals. A local description of Bass orders is presented.
Received: 20.04.1967
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 6, Pages 1415–1436
Bibliographic databases:
UDC: 519.49
MSC: 16E60, 16E30, 16E40, 16E65, 13F05
Language: English
Original paper language: Russian
Citation: Yu. A. Drozd, V. V. Kirichenko, A. V. Roiter, “On hereditary and bass orders”, Izv. Akad. Nauk SSSR Ser. Mat., 31:6 (1967), 1415–1436; Math. USSR-Izv., 1:6 (1967), 1357–1375
Citation in format AMSBIB
\Bibitem{DroKirRoi67}
\by Yu.~A.~Drozd, V.~V.~Kirichenko, A.~V.~Roiter
\paper On hereditary and bass orders
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 6
\pages 1415--1436
\mathnet{http://mi.mathnet.ru/im2595}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=219527}
\zmath{https://zbmath.org/?q=an:0204.05302|0211.36102}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 6
\pages 1357--1375
\crossref{https://doi.org/10.1070/IM1967v001n06ABEH000625}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:492
    Russian version PDF:108
    English version PDF:24
    References:60
    First page:1
     
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