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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 2, Pages 186–202 (Mi adm491)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Exponent matrices and Frobenius rings

M. A. Dokuchaeva, M. V. Kasyanukb, M. A. Khibinac, V. V. Kirichenkob

a Departamento de Matematica, Universidade de São Paulo
b National Taras Shevchenko University of Kyiv, The Faculty of Mechanics and Mathematics
c Institute for Technical Thermal Physics, National Academy of Sciences of Ukraine
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Abstract: We give a survey of results connecting the exponent matrices with Frobenius rings. In particular, we prove that for any parmutation $\sigma \in S_{n}$ there exists a countable set of indecomposable Frobenius semidistributive rings $A_{m}$ with Nakayama permutation $ \sigma$.
Keywords: exponent matrix, Frobenius ring, distributive module, quiver of semiperfect ring.
Received: 04.12.2014
Revised: 04.12.2014
Bibliographic databases:
Document Type: Article
MSC: 16P40, 16P20
Language: English
Citation: M. A. Dokuchaev, M. V. Kasyanuk, M. A. Khibina, V. V. Kirichenko, “Exponent matrices and Frobenius rings”, Algebra Discrete Math., 18:2 (2014), 186–202
Citation in format AMSBIB
\Bibitem{DokKasKhi14}
\by M.~A.~Dokuchaev, M.~V.~Kasyanuk, M.~A.~Khibina, V.~V.~Kirichenko
\paper Exponent matrices and Frobenius rings
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 2
\pages 186--202
\mathnet{http://mi.mathnet.ru/adm491}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3352709}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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