Geodesic
Exponent matrices and Frobenius rings
Algebra and discrete mathematics, Tome 18 (2014) no. 2, pp. 186-202

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ADM_2014_18_2_a3,
     author = {M. A. Dokuchaev and M. V. Kasyanuk and M. A. Khibina and V. V. Kirichenko},
     title = {Exponent matrices and {Frobenius} rings},
     journal = {Algebra and discrete mathematics},
     pages = {186--202},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a3/}
}
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M. A. Dokuchaev; M. V. Kasyanuk; M. A. Khibina; V. V. Kirichenko. Exponent matrices and Frobenius rings. Algebra and discrete mathematics, Tome 18 (2014) no. 2, pp. 186-202. http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a3/