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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 4, Pages 749–792
DOI: https://doi.org/10.1070/IM1973v007n04ABEH001975
(Mi im2320)
 

This article is cited in 48 scientific papers (total in 48 papers)

Representations of quivers of infinite type

L. A. Nazarova
References:
Abstract: In this paper we describe the quiver representations (see [1]) which do not contain die problem of reducing a pair of matrices by similarity transformations.
Received: 19.09.1972
Bibliographic databases:
UDC: 519.4
MSC: Primary 15A21; Secondary 06A10, 17B05, 17B10
Language: English
Original paper language: Russian
Citation: L. A. Nazarova, “Representations of quivers of infinite type”, Math. USSR-Izv., 7:4 (1973), 749–792
Citation in format AMSBIB
\Bibitem{Naz73}
\by L.~A.~Nazarova
\paper Representations of quivers of infinite type
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 4
\pages 749--792
\mathnet{http://mi.mathnet.ru/eng/im2320}
\crossref{https://doi.org/10.1070/IM1973v007n04ABEH001975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=338018}
\zmath{https://zbmath.org/?q=an:0298.15012}
Linking options:
  • https://www.mathnet.ru/eng/im2320
  • https://doi.org/10.1070/IM1973v007n04ABEH001975
  • https://www.mathnet.ru/eng/im/v37/i4/p752
  • This publication is cited in the following 48 articles:
    1. Zengqiang Lin, Xiuping Su, “Affine Root Systems, Stable Tubes, and a Conjecture by Geiss–Leclerc–Schröer”, International Mathematics Research Notices, 2025:2 (2025)  crossref
    2. Eric J. Hanson, Job Daisie Rock, “Decomposition of pointwise finite-dimensional 𝕊1 persistence modules”, J. Algebra Appl., 23:03 (2024)  crossref
    3. V. M. Bondarenko, O. V. Zubaruk, “Σ -Functions of the Categories of Matrix Representations of Nilpotent Semigroups”, J Math Sci, 282:5 (2024), 601  crossref
    4. Clément de Seguins Pazzis, “Locally finite cycles of linear mappings in countable dimension”, Linear Algebra and its Applications, 669 (2023), 57  crossref
    5. V. M. Bondarenko, O. V. Zubaruk, “Σ-functions of categories of matrix representations of nilpotent semigroups”, Mat. Met. Fiz. Mekh. Polya, 65:1-2 (2022)  crossref
    6. Abdullah Alazemi, Milica Anđelić, Carlos M. da Fonseca, Vyacheslav Futorny, Vladimir V. Sergeichuk, “Three Representation Types for Systems of Forms and Linear Maps”, Mathematics, 9:5 (2021), 455  crossref
    7. Nir Cohen, Edgar Pereira, “The cyclic rank completion problem with general blocks”, Linear and Multilinear Algebra, 69:1 (2021), 48  crossref
    8. Vitalij M. Bondarenko, Marina V. Styopochkina, “The classification of serial posets with the non-negative quadratic Tits form being principal”, Algebra Discrete Math., 27:2 (2019), 202–211  mathnet
    9. Simone Giovannini, “Higher representation infinite algebras from McKay quivers of metacyclic groups”, Communications in Algebra, 47:9 (2019), 3672  crossref
    10. Piotr Malicki, CRM Short Courses, Homological Methods, Representation Theory, and Cluster Algebras, 2018, 21  crossref
    11. V. Bondarenko, M. Stoika, “On representations of the group of order two over local factorial rings in the weakly modular case”, Algebra Discrete Math., 23:1 (2017), 7–15  mathnet
    12. Iryna Kashuba, Serge Ovsienko, Ivan Shestakov, “On the representation type of Jordan basic algebras”, Algebra Discrete Math., 23:1 (2017), 47–61  mathnet
    13. Vitaliy M. Bondarenko, Olena M. Tertychna, Olesya V. Zubaruk, “On classification of pairs of potent linear operators with the simplest annihilation condition”, Algebra Discrete Math., 21:1 (2016), 18–23  mathnet  mathscinet
    14. E. A. Makedonskii, “On Wild and Tame Finite-Dimensional Lie Algebras”, Funct. Anal. Appl., 47:4 (2013), 271–283  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    15. V. M. Bondarenko, E. M. Kostyshyn, “On modular representations of semigroups Sp×Tp”, Algebra Discrete Math., 16:1 (2013), 16–19  mathnet  mathscinet
    16. Roger Horn, Vladimir Sergeichuk, Discrete Mathematics and Its Applications, 20134740, Handbook of Linear Algebra, Second Edition, 2013, 557  crossref
    17. Andrzej Mróz, “On the Multiplicity Problem and the Isomorphism Problem for the Four Subspace Algebra”, Communications in Algebra, 40:6 (2012), 2005  crossref
    18. Vitalij M. Bondarenko, “Minimax isomorphism algorithm and primitive posets”, Algebra Discrete Math., 12:2 (2011), 31–37  mathnet  mathscinet  zmath
    19. Yang Han, Deke Zhao, “Superspecies and their representations”, Journal of Algebra, 321:12 (2009), 3668  crossref
    20. A. M. Gainutdinov, A. M. Semikhatov, I. Yu. Tipunin, B. L. Feigin, “Kazhdan–Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic CFT”, Theoret. and Math. Phys., 148:3 (2006), 1210–1235  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1195
    Russian version PDF:465
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    References:117
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