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.