Accession Number : AD0282337

Title :   EXTERIOR CALCULUS ON MODULES

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : OSBORN,HOWARD

Report Date : AUG 1962

Pagination or Media Count : 1

Abstract : An exterior calculus is defined on an arbitrary module over a commutative ring with unit, which reduces to the classical exterior calculus with polynomial coefficients in case the module is a real finite-dimensional vector space. Analogs of the Poincare lemma and the existence theorem for conservation laws are proved, the latter by means of an explicit representation. (Author)

Descriptors :   *ALGEBRAS, FUNCTIONAL ANALYSIS, POLYNOMIALS

Distribution Statement : APPROVED FOR PUBLIC RELEASE