Geodesic
On independent systems in unitary relatively free algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 69-71

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This paper introduces a family of polynomial systems of quite general form (triangular systems) in a unitary relatively free algebra $F$ with associative degrees. These systems generate a subalgebra that is isomorphic to the algebra $F$. The proof of independency is based on some simple algebro-geometric consideration. 
@article{FPM_2008_14_8_a2,
     author = {A. V. Grishin},
     title = {On independent systems in unitary relatively free algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {69--71},
     publisher = {mathdoc},
     volume = {14},
     number = {8},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a2/}
}
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A. V. Grishin. On independent systems in unitary relatively free algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 69-71. http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a2/