Geodesic
Linear minimal rings and algebras
Algebra i logika, Tome 51 (2012) no. 2, pp. 159-167

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The concept of linear minimality for rings and algebras is introduced. It is proved that a linear minimal ring is a linear minimal central algebra over a field of definable scalars.
Keywords: linear minimality, ring, algebra, definability of scalars. 
@article{AL_2012_51_2_a0,
     author = {E. R. Baisalov},
     title = {Linear minimal rings and algebras},
     journal = {Algebra i logika},
     pages = {159--167},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_2_a0/}
}
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E. R. Baisalov. Linear minimal rings and algebras. Algebra i logika, Tome 51 (2012) no. 2, pp. 159-167. http://geodesic.mathdoc.fr/item/AL_2012_51_2_a0/