Geodesic
Finite-dimensional homogeneously simple algebras of associative type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 36-42

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In this paper we describe finite-dimensional homogeneously simple algebras of associative type whose 1-component is a full matrix algebra. In addition, we prove that a finite-dimensional division ring of associative type over an algebraically closed field is isomorphic to a group algebra.
Keywords: homogeneously simple algebra of associative type, division ring of associative type. 
@article{IVM_2010_9_a2,
     author = {N. A. Koreshkov},
     title = {Finite-dimensional homogeneously simple algebras of associative type},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--42},
     publisher = {mathdoc},
     number = {9},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_9_a2/}
}
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N. A. Koreshkov. Finite-dimensional homogeneously simple algebras of associative type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 36-42. http://geodesic.mathdoc.fr/item/IVM_2010_9_a2/