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Volume :22 Issue : 1 1995
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Subsets of nearly commuting projections
Auther : ALAN C. WILDE
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, USA
ABSTRACT
It is well known that projection operators are typical elements in Boolean algebras, where a number of relevant theorems are proved for commutative projections. In the present paper we propose an extension of the concept of commutativity, which we call near commutativity. We extend to this concept the main theorems on commutative projections, and in various ways we : the class of nearly commutative projections in Boolean algebras.