Email this article Partial Orders Based on Inverses Along Elements
- Authors: Guterman A.1,2,3, Mary X.4, Shteyner P.1,2,3
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Affiliations:
- Department of Mathematics and Mechanics, Lomonosov Moscow State University
- Moscow Center for Continuous Mathematical Education
- Moscow Institute of Physics and Technology
- Modal’X, UPL, University Paris Nanterre
- Issue: Vol 232, No 6 (2018)
- Pages: 783-796
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241438
- DOI: https://doi.org/10.1007/s10958-018-3908-8
- ID: 241438
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Abstract
The paper introduces and investigates partial orders that are finer than the minus partial order and are based on inverses along an element and other specific outer inverses. It turns out that in this way a number of classical partial orders can be equivalently defined.
About the authors
A. Guterman
Department of Mathematics and Mechanics, Lomonosov Moscow State University; Moscow Center for Continuous Mathematical Education; Moscow Institute of Physics and Technology
Author for correspondence.
Email: guterman@list.ru
Russian Federation, Moscow; Moscow; Dolgoprudny
X. Mary
Modal’X, UPL, University Paris Nanterre
Email: guterman@list.ru
France, Nanterre
P. Shteyner
Department of Mathematics and Mechanics, Lomonosov Moscow State University; Moscow Center for Continuous Mathematical Education; Moscow Institute of Physics and Technology
Email: guterman@list.ru
Russian Federation, Moscow; Moscow; Dolgoprudny
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