Involutory modules and involutory differential algebras
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 4 (1973), pp. 205-216
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The paper deals with algebraic models of differential geometry. Prolongations of exterior differential algebras defined by exact sequences of free graduated modules over exterior algebra are considered. A graduated module is called involutory in a sense generalizing the use of this term by E. Cartan and Spencer. Using the notion of involutory graduated module, a criterion is found for the existence of an infinite sequenre of prolongations of a given differential algebra.
@article{INTG_1973_4_a6,
author = {A. M. Vasil'ev},
title = {Involutory modules and involutory differential algebras},
journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
pages = {205--216},
year = {1973},
volume = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTG_1973_4_a6/}
}
A. M. Vasil'ev. Involutory modules and involutory differential algebras. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 4 (1973), pp. 205-216. http://geodesic.mathdoc.fr/item/INTG_1973_4_a6/