Shorted Operators Relative to a Partial Order in a Regular Ring |
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| Authors: | Brian Blackwood K M Prasad Ashish K Srivastava |
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| Institution: | 1. Department of Mathematics , Potomae State College, West Virginia University , Keyser, West Virginia, USA;2. Manipal Institue of Management , Manipal University , Manipal, Karnataka, India;3. Department of Mathematics and Computer Science , St. Louis University , St. Louis, Missouri, USA |
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| Abstract: | In this article, 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. |
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| Keywords: | Partial order Shorted operator von Neumann regular ring |
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