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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2014 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153330 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |