Geodesic
Polynomial automorphisms, quantization, and Jacobian conjecture related problems. I. Introduction
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 213 (2022), pp. 110-144

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The purpose of this review is the collection and systematization of results concerning the quantization approach to the some classical aspects of non-commutative algebras, especially to the Jacobian conjecture. We start with quantization proof of Bergman centralizing theorem, then discourse authomorphisms of INd-schemes authomorphisms, then go to aproximation issues. Last chapter dedicated to relations between $PI$-theory Burnside type theorems and Jacobian Conjecture (Jagzev approach). This issue contains the first part of the work; continuation will be published in future issues.
Mots-clés : автоморфизм, квантование, гипотеза о Якобиане. 
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     title = {Polynomial automorphisms, quantization, and {Jacobian} conjecture related problems. {I.} {Introduction}},
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A. M. Elishev; A. Ya. Belov; F. Razavinia; Yu Jie-Tai; Wenchao Zhang. Polynomial automorphisms, quantization, and Jacobian conjecture related problems. I. Introduction. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 213 (2022), pp. 110-144. http://geodesic.mathdoc.fr/item/INTO_2022_213_a10/