Shorted Operators Relative to a Partial Order in a Regular Ring

Abstract

In this paper, the explicit form of maximal elements, known as shorted operators, in a subring of a von Neumann regular ring has been obtained. As an application of the main theorem, the unique shorted operator (of electrical circuits) which was introduced by Anderson-Trapp has been derived.Comment: There was a small mistake in the published version which has been corrected her