1954•Bulletin de la Classe des sciencesRequires access

Construction of a basis for the vector space of remainders in the algebra of Grassmann

Lal Goverdhan

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Abstract

The remainders of any given degree in the Algebra of Grassmann form a vector space of finite dimensionality. We give two methods of constructing a basis of this vector space. Incidently, we also give a new formula for writing down effectively the remainder of any form.

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The remainders of any given degree in the Algebra of Grassmann form a vector space of finite dimensionality. We give two methods of constructing a basis of this vector space. Incidently, we also give a new formula for writing down effectively the remainder of any form.

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Available abstract

The remainders of any given degree in the Algebra of Grassmann form a vector space of finite dimensionality. We give two methods of constructing a basis of this vector space. Incidently, we also give a new formula for writing down effectively the remainder of any form.

Key concepts: Basis (linear algebra), Remainder, Vector space, Mathematics, Algebra over a field, Space (punctuation), Pure mathematics, Exterior algebra

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