AbstractsMathematics

Polarities and some applications.

by Ramona Marie. Carbotte




Institution: McGill University
Department: Department of Mathematics.
Degree: MS.
Year: 1964
Keywords: Mathematics.; Polarity (mathematics)
Record ID: 1563874
Full text PDF: http://digitool.library.mcgill.ca/thesisfile119203.pdf


Abstract

There are numerous situations in which a polarity occurs, several of these being pointed out by G. Birkhoff [2] who first discussed polarities and formulated some of the elementary results. R.M. Thrall examined more closely a polarity between the subspaces of a vector space and the algebra of linear transformations [8]. Another important application arises in lattice completions [2]. [...]