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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 5, Pages 911–938
DOI: https://doi.org/10.1070/IM1975v009n05ABEH001511
(Mi im2074)
 

This article is cited in 22 scientific papers (total in 22 papers)

Partially ordered sets of infinite type

L. A. Nazarova
References:
Abstract: In this paper a necessary and sufficient condition is given that a partially ordered set have tame type, i.e. that it admit classification of its indecomposable representations.
Bibliography: 16 titles.
Received: 25.10.1974
Bibliographic databases:
UDC: 519.4
MSC: 06A10
Language: English
Original paper language: Russian
Citation: L. A. Nazarova, “Partially ordered sets of infinite type”, Math. USSR-Izv., 9:5 (1975), 911–938
Citation in format AMSBIB
\Bibitem{Naz75}
\by L.~A.~Nazarova
\paper Partially ordered sets of infinite type
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 5
\pages 911--938
\mathnet{http://mi.mathnet.ru/eng/im2074}
\crossref{https://doi.org/10.1070/IM1975v009n05ABEH001511}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=406878}
\zmath{https://zbmath.org/?q=an:0362.06001}
Linking options:
  • https://www.mathnet.ru/eng/im2074
  • https://doi.org/10.1070/IM1975v009n05ABEH001511
  • https://www.mathnet.ru/eng/im/v39/i5/p963
  • This publication is cited in the following 22 articles:
    1. Raymundo Bautista, Verónica Cifuentes, “On the Auslander–Reiten quiver for the category of representations of partially ordered sets with an involution”, Bol. Soc. Mat. Mex., 31:2 (2025)  crossref
    2. Maryna Stopochkina, “On properties of the Hasse diagrams of NP-critical posets of order less than 8”, BKNUPhM, 2024, no. 1, 33  crossref
    3. V. M. Bondarenko, M. V. Styopochkina, “Classification of the posets of minmax types which are symmetric oversupercritical posets of the eighth order”, Mat. Met. Fiz. Mekh. Polya, 66:1-2 (2023)  crossref
    4. M. V. Styopochkina, “The coefficients of transitiveness of the posets minimax isomorphic to the non-primitive supercritical poset”, Prykl. Probl. Mekh. Mat., 21 (2023)  crossref
    5. V. M. Bondarenko, M. V. Styopochkina, “On Hasse diagrams connected with the 1-oversupercritical poset (1,2,7)”, Prykl. Probl. Mekh. Mat., 19 (2021)  crossref
    6. V. M. Bondarenko, M. V. Stepochkina, M. V. Stoika, “The coefficients of transitiveness of the posets of MM-type being the smallest supercritical poset of width 3”, Prykl. Probl. Mekh. Mat., 18 (2020)  crossref
    7. M. V. Stoika, M. V. Styopochkina, “On Hasse diagrams connected with the poset (1, 2, 7)”, BKNUPhM, 2020, no. № 4, 16  crossref
    8. V. M. Bondarenko, Yu. M. Orlovskaja, M. V. Styopochkina, “On Hasse diagrams connected with the 1-oversupercritical poset (1, 3, 5)”, Prykl. Probl. Mekh. Mat., 16 (2018)  crossref
    9. 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
    10. Yu. Drozd, V. Zembyk, “Representations of nodal algebras of type $\mathrm A$”, Algebra Discrete Math., 15:2 (2013), 179–200  mathnet  mathscinet
    11. Vitalij M. Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk, Vladimir V. Sergeichuk, Kostyantyn Yusenko, “Systems of subspaces of a unitary space”, Linear Algebra and its Applications, 2012  crossref
    12. Vyacheslav Futorny, Yurii Samoilenko, Kostyantyn Yusenko, “Representations of posets: linear versus unitary”, J. Phys.: Conf. Ser, 346 (2012), 012006  crossref
    13. Vitalij M. Bondarenko, “Minimax isomorphism algorithm and primitive posets”, Algebra Discrete Math., 12:2 (2011), 31–37  mathnet  mathscinet  zmath
    14. I. K. Redchuk, “Separating functions and their applications”, J. Math. Sci. (N. Y.), 145:1 (2007), 4805–4810  mathnet  crossref  mathscinet  zmath  elib
    15. L. A. Nazarova, A. V. Roiter, M. N. Smirnova, “Antimonotone and $P$-exact quadratic forms, and representations of partially ordered sets”, St. Petersburg Math. J., 17:6 (2006), 1015–1030  mathnet  crossref  mathscinet  zmath  elib
    16. Genrich R. Belitskii, Vladimir V. Sergeichuk, “Complexity of matrix problems”, Linear Algebra and its Applications, 361 (2003), 203  crossref
    17. Vladimir V. Sergeichuk, “Canonical matrices for linear matrix problems”, Linear Algebra and its Applications, 317:1-3 (2000), 53  crossref
    18. L. A. Skornyakov, I. P. Mysovskikh, A. A. Talalyan, E. D. Solomentsev, A. G. Sveshnikov, V. A. Chuyanov, A. L. Shmel'kin, V. A. Andrunakievich, R. A. Minlos, K. Yu. Bulota, L. V. Kuz'min, M. P. Mineev, B. A. Sevast'yanov, N. N. Cnentsov, R. L. Dobrushin, V. V. Prelov, Yu. V. Prokhorov, A. M. Yaglom, V. F. Kolchin, V. I. Pagurova, A. A. Borovkov, M. S. Nikulin, T. Yu. Popova, O. A. Ivanova, V. L. Popov, V. E. Govorov, M. V. Fedoryuk, E. G. D'yakonov, K. P. Dolzhenko, Viktor S. Kulikov, D. Sullivan, L. D. Kudryavtsev, Val. S. Kulikov, A. S. Rapinchuk, A. V. Malyshev, C. Dellacherie, V. M. Babich, A. V. Prokhorov, N. Kh. Rozov, P. C. Fife, D. A. Gudkov, D. A. Ponomarev, V. E. Plisko, S. A. Stepanov, B. I. Golubov, S. N. Artemov, K. M. Millionshchikov, V. M. Millionshchikov, N. V. Belyakin, V. A. Dushskiǐ, P. J. Rousseeuw, V. K. Domanskiǐ, S. S. Goncharov, A. N. Degtev, S. G. Tankeev, V. N. Grishin, V. M. Millwnshchikov, D. V. Alekseevskiǐ, L. N. Shev, Encyclopaedia of Mathematics, 1995, 715  crossref
    19. M. Hazewinkel, Encyclopaedia of Mathematics, 1992, 1  crossref
    20. A. G. Zavadskii, “Differentiation algorithm and classification of representations”, Math. USSR-Izv., 39:2 (1992), 975–1012  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    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:478
    Russian version PDF:230
    English version PDF:33
    References:52
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