1. Partial orders based on inverses along elements
- Author
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Alexander Guterman, Pavel Shteyner, Xavier Mary, Modélisation aléatoire de Paris X (MODAL'X), Université Paris Nanterre (UPN), Lomonosov Moscow State University (MSU), and ANR-11-LABX-0023,MME-DII,Modèles Mathématiques et Economiques de la Dynamique, de l'Incertitude et des Interactions(2011)
- Subjects
Statistics and Probability ,Pure mathematics ,Applied Mathematics ,General Mathematics ,010102 general mathematics ,[MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] ,0211 other engineering and technologies ,021107 urban & regional planning ,02 engineering and technology ,01 natural sciences ,[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] ,Order (group theory) ,0101 mathematics ,Element (category theory) ,ComputingMilieux_MISCELLANEOUS ,Mathematics - 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.
- Published
- 2017