Geodesic
Standard basis in the $T$-ideal formed by polynomial identities of triangular matrices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 193-203

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We give the definition of a standard basis of a $T$-ideal of the free associative algebra over a field of zero characteristic and indicate some basis called canonical in the linear space of $n$-linear forms. Using this basis, we construct a standard basis in the $T$-ideal of identities satisfied by the algebra of upper triangular $(n\times n)$-matrices. 
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     author = {V. N. Latyshev},
     title = {Standard basis in the $T$-ideal formed by polynomial identities of triangular matrices},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {193--203},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_3_a9/}
}
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V. N. Latyshev. Standard basis in the $T$-ideal formed by polynomial identities of triangular matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 193-203. http://geodesic.mathdoc.fr/item/FPM_2010_16_3_a9/