Exponent matrices and Frobenius rings

• Published in: Algebra and Discrete Mathematics
• Date: 2014
• Main Authors: Dokuchaev, M.A., Kasyanuk, M.V., Khibina, M.A., Kirichenko, V.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153330
• 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.

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.