English

Shorted Operators Relative to a Partial Order in a Regular Ring

Rings and Algebras 2010-10-04 v1

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.

Keywords

Cite

@article{arxiv.1010.0051,
  title  = {Shorted Operators Relative to a Partial Order in a Regular Ring},
  author = {Brian Blackwood and S. K. Jain and K. M. Prasad and Ashish K. Srivastava},
  journal= {arXiv preprint arXiv:1010.0051},
  year   = {2010}
}

Comments

There was a small mistake in the published version which has been corrected here

R2 v1 2026-06-21T16:22:08.142Z