Some Special Elements and Pseudo Inverse Functions in Groupoids

Autor: Yong Lin Liu, Hee Sik Kim, Joseph Neggers
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Mathematics, Vol 7, Iss 2, p 173 (2019)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math7020173
Popis: In this paper, we consider a theory of elements u of a groupoid ( X , ∗ ) that are associated with certain functions u ^ : X → X , pseudo-inverse functions, which are generalizations of the inverses associated with units of groupoids with identity elements. If classifying the elements u as special of one of twelve types, then it is possible to do a rather detailed analysis of certain cases, leftoids, rightoids and linear groupoids included, which demonstrates that it is possible to develop a successful theory and that a good deal of information has already been obtained with much more possible in the future.
Databáze: Directory of Open Access Journals
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