Geodesic
Pair analysis of involutive divisions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 199-212.

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The main goal of this work is to describe a new approach to the study of involutive divisions using the pairwise property. The paper presents a simple and intuitive method for constructing the Janet division and reveals the deep intrinsic relationship between Janet division and $\mathrm{Lex}$-ordering. A method for constructing some analogues of the Janet division for other orders is described. An example of pairwise, continuous, and nonconstructive involutive division is given. 
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A. S. Semenov. Pair analysis of involutive divisions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 199-212. http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a13/

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