Pair analysis of involutive divisions |
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Authors: | A S Semenov |
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Institution: | (1) Department of Mechanics and Mathematics, Moscow State University, Russia |
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Abstract: | 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 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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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 3, pp. 199–212, 2003. |
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