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 \(\sigma \in S_{n}\) there exists a countable set of indecomposable Frobenius semidistributive rings \(A_{m}\) with Nakayama permutation \( \sigma\).

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Bibliographic Details
Date:2018
Main Authors: Dokuchaev, M. A., Kasyanuk, M. V., Khibina, M. A., Kirichenko, V. V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1056
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics