Exponent matrices and Frobenius rings

M. A. Dokuchaev, M. V. Kasyanuk, M. A. Khibina, V. V. Kirichenko

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

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