Посилання: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.
Підтримка: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.
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.