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65th Workshop on General Algebra, 18th Conference for Young Algebraists
March 21-23, 2003
University of Potsdam
Potsdam, Germany

Organizers
Klaus Denecke, Jörg Koppitz

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The graphs of involutive divisions
by
Ekaterina S. Shemyakova
153003, 12, Samoylova str, 6, Ivanovo, Russia

In this report the definition of the graph of involutive division is introduced. The graphs of classic divisions are constructed. The criterion of noetherity for the graph global involutive divisions is obtained. A series of new examples of involute divisions including Divisions of Thomas and Janet is reduced. In general, it is received the new method for studing and obtaining involutive divisions. The work was partially supported by Russian Foundatian for Basic Research project 02-01-01033.

Date received: January 28, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cake-26.