Shorted Operators Relative to a Partial Order in a Regular Ring

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.

Brian Blackwood, S. K. Jain, K. M. Prasad, Ashish K. Srivastava · 2010