Exponent matrices and Frobenius rings
We give a survey of results connecting the exponent matrices with Frobenius rings. In particular, we prove that for any parmutation σ ∈ Sn there exists a countable set of indecomposable Frobenius semidistributive rings Am with Nakayama permutation σ.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2014 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/153330 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exponent matrices and Frobenius rings / M.A. Dokuchaev, M.V. Kasyanuk, M.A. Khibina, V.V. Kirichenko // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 286–202. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-153330 |
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Dokuchaev, M.A. Kasyanuk, M.V. Khibina, M.A. Kirichenko, V.V. 2019-06-14T03:21:45Z 2019-06-14T03:21:45Z 2014 Exponent matrices and Frobenius rings / M.A. Dokuchaev, M.V. Kasyanuk, M.A. Khibina, V.V. Kirichenko // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 286–202. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC:16P40, 16P20. https://nasplib.isofts.kiev.ua/handle/123456789/153330 We give a survey of results connecting the exponent matrices with Frobenius rings. In particular, we prove that for any parmutation σ ∈ Sn there exists a countable set of indecomposable Frobenius semidistributive rings Am with Nakayama permutation σ. The first author was partially supported by CNPq and FAPESP ofBrazil. The last author was supported by FAPESP of Brazil, and he thanks the Department of Mathematics of the University of São Paulo for its warm hospitality during his visit in 2012. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Exponent matrices and Frobenius rings Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Exponent matrices and Frobenius rings |
| spellingShingle |
Exponent matrices and Frobenius rings Dokuchaev, M.A. Kasyanuk, M.V. Khibina, M.A. Kirichenko, V.V. |
| title_short |
Exponent matrices and Frobenius rings |
| title_full |
Exponent matrices and Frobenius rings |
| title_fullStr |
Exponent matrices and Frobenius rings |
| title_full_unstemmed |
Exponent matrices and Frobenius rings |
| title_sort |
exponent matrices and frobenius rings |
| author |
Dokuchaev, M.A. Kasyanuk, M.V. Khibina, M.A. Kirichenko, V.V. |
| author_facet |
Dokuchaev, M.A. Kasyanuk, M.V. Khibina, M.A. Kirichenko, V.V. |
| publishDate |
2014 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We give a survey of results connecting the exponent matrices with Frobenius rings. In particular, we prove that for any parmutation σ ∈ Sn there exists a countable set of indecomposable Frobenius semidistributive rings Am with Nakayama permutation σ.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153330 |
| citation_txt |
Exponent matrices and Frobenius rings / M.A. Dokuchaev, M.V. Kasyanuk, M.A. Khibina, V.V. Kirichenko // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 286–202. — Бібліогр.: 10 назв. — англ. |
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AT dokuchaevma exponentmatricesandfrobeniusrings AT kasyanukmv exponentmatricesandfrobeniusrings AT khibinama exponentmatricesandfrobeniusrings AT kirichenkovv exponentmatricesandfrobeniusrings |
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2025-12-07T16:47:41Z |
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2025-12-07T16:47:41Z |
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