Geodesic
A~general version of standard bases in associative algebras and their universal constructions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 3, pp. 183-203

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This work is devoted, in some sense, to “methodical” questions. A general version of standard basis in ideal of algebra is presented which uses a notion of so called algebra with a strong filtration introduced recently by the author. Moreover, universal constructions related this class of algebras such as direct sums, tensor products, and free modules are considered. 
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     author = {V. N. Latyshev},
     title = {A~general version of standard bases in associative algebras and their universal constructions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_3_a10/}
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V. N. Latyshev. A~general version of standard bases in associative algebras and their universal constructions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 3, pp. 183-203. http://geodesic.mathdoc.fr/item/FPM_2009_15_3_a10/