M. A. Dokuchaev, M. V. Kasyanuk, M. A. Khibina, V. V. Kirichenko, “Exponent matrices and Frobenius rings”, Algebra Discrete Math., 2014, Volume 18, Issue 2,Pages <nobr>186

This article is cited in 2 papers

RESEARCH ARTICLE

Exponent matrices and Frobenius rings

M. A. Dokuchaev^a, M. V. Kasyanuk^b, M. A. Khibina^c, V. V. Kirichenko^b

^a Departamento de Matematica, Universidade de São Paulo
^b National Taras Shevchenko University of Kyiv, The Faculty of Mechanics and Mathematics
^c Institute for Technical Thermal Physics, National Academy of Sciences of Ukraine

Abstract: 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$.

Keywords: exponent matrix, Frobenius ring, distributive module, quiver of semiperfect ring.

MSC: 16P40, 16P20

Received: 04.12.2014
Revised: 04.12.2014

Language: English