Geodesic
Representation of some finite rings by matrices over commutative rings
Algebra i logika, Tome 53 (2014) no. 4, pp. 451-465

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

We give a complete description of subdirectly irreducible finite associative rings with commuting nilpotent elements. Also it is proved that a finite ring the nilpotent elements of which commute is representable by matrices over a commutative ring.
Keywords: Galois ring, subdirectly irreducible ring, variety of associative rings, representation of finite rings by matrices over commutative rings. 
@article{AL_2014_53_4_a1,
     author = {A. Mekei and L. Oyuuntsetseg},
     title = {Representation of some finite rings by matrices over commutative rings},
     journal = {Algebra i logika},
     pages = {451--465},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2014_53_4_a1/}
}
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A. Mekei; L. Oyuuntsetseg. Representation of some finite rings by matrices over commutative rings. Algebra i logika, Tome 53 (2014) no. 4, pp. 451-465. http://geodesic.mathdoc.fr/item/AL_2014_53_4_a1/