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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 2, Pages 323–365
DOI: https://doi.org/10.1070/IM1972v006n02ABEH001876
(Mi im2299)
 

This article is cited in 13 scientific papers (total in 13 papers)

On quasi-Bass orders

Yu. A. Drozd, V. V. Kirichenko
References:
Abstract: We study quasi-Bass orders over complete local Dedekind rings, i.e. orders of which every indecomposable representation module is a direct summand of an over-ring. We give a method allowing us to reduce the study of such orders to the case of “small” algebras. The Bass and quasi-Bass concepts are carried over to the case of finite-dimensional algebras.
Received: 14.07.1970
Bibliographic databases:
UDC: 519.49
MSC: Primary 16A10, 16A04; Secondary 14A36, 16A50, 16A52
Language: English
Original paper language: Russian
Citation: Yu. A. Drozd, V. V. Kirichenko, “On quasi-Bass orders”, Math. USSR-Izv., 6:2 (1972), 323–365
Citation in format AMSBIB
\Bibitem{DroKir72}
\by Yu.~A.~Drozd, V.~V.~Kirichenko
\paper On quasi-Bass orders
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 2
\pages 323--365
\mathnet{http://mi.mathnet.ru/eng/im2299}
\crossref{https://doi.org/10.1070/IM1972v006n02ABEH001876}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=304411}
\zmath{https://zbmath.org/?q=an:0234.13009}
Linking options:
  • https://www.mathnet.ru/eng/im2299
  • https://doi.org/10.1070/IM1972v006n02ABEH001876
  • https://www.mathnet.ru/eng/im/v36/i2/p328
  • This publication is cited in the following 13 articles:
    1. Takuma Aihara, Aaron Chan, Takahiro Honma, “On representation-finite gendo-symmetric algebras with only one non-injective projective module”, Journal of Algebra, 603 (2022), 61  crossref
    2. Takahide Adachi, Takuma Aihara, Aaron Chan, “Classification of two-term tilting complexes over Brauer graph algebras”, Math. Z., 290:1-2 (2018), 1  crossref
    3. Bruce Olberding, “One-dimensional stable rings”, Journal of Algebra, 456 (2016), 93  crossref
    4. Takahide Adachi, “The classification of τ-tilting modules over Nakayama algebras”, Journal of Algebra, 452 (2016), 227  crossref
    5. H.Pat Goeters, “Noetherian Stable Domains”, Journal of Algebra, 202:1 (1998), 343  crossref
    6. Hiroaki Hijikata, Kenji Nishida, “Primary Orders of Finite Representation Type”, Journal of Algebra, 192:2 (1997), 592  crossref
    7. David E. Rush, “Rings with two-generated ideals”, Journal of Pure and Applied Algebra, 73:3 (1991), 257  crossref
    8. Jeremy Haefner, “On Gorenstein orders”, Journal of Algebra, 132:2 (1990), 406  crossref
    9. L. F. Barannik, P. M. Gudivok, “Crossed group rings of finite groups and rings of p-adic integers with finitely many indecomposable integral representations”, Math. USSR-Sb., 36:2 (1980), 173–194  mathnet  crossref  mathscinet  zmath  isi
    10. V. V. Kirichenko, “Generalized uniserial rings”, Math. USSR-Sb., 28:4 (1976), 501–520  mathnet  crossref  mathscinet  zmath  isi
    11. Yu. A. Drozd, “Ideals in commutative rings”, Math. USSR-Sb., 30:3 (1976), 297–310  mathnet  crossref  mathscinet  zmath  isi
    12. Judith D. Sally, Wolmer V. Vasconcelos, “Stable rings”, Journal of Pure and Applied Algebra, 4:3 (1974), 319  crossref
    13. Yu. A. Drozd, V. V. Kirichenko, “Primary orders with a finite numbers of indecomposable representations”, Math. USSR-Izv., 7:4 (1973), 711–732  mathnet  crossref  mathscinet  zmath
    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:501
    Russian version PDF:118
    English version PDF:31
    References:85
    First page:1
     
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