# Shorted Operators Relative to a Partial Order in a Regular Ring

Source: [Shorted Operators Relative to a Partial Order in a Regular Ring](<https://www.sota2.com/research/paper/68fa4edd1e209131ce95f1f3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:01:53.727Z

Authors: Brian Blackwood, S. K. Jain, K. M. Prasad, Ashish K. Srivastava

Published: 2010-10-01T02:15:30.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1010.0051>)

[PDF](<https://arxiv.org/pdf/1010.0051.pdf>)