Isomorphism Theorems for Groupoids and Some Applications
Joint Authors
Ávila, Jesús
Marín, Víctor
Pinedo, Héctor
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Using an algebraic point of view we present an introduction to the groupoid theory; that is, we give fundamental properties of groupoids as uniqueness of inverses and properties of the identities and study subgroupoids, wide subgroupoids, and normal subgroupoids.
We also present the isomorphism theorems for groupoids and their applications and obtain the corresponding version of the Zassenhaus Lemma and the Jordan-Hölder theorem for groupoids.
Finally, inspired by the Ehresmann-Schein-Nambooripad theorem we improve a result of R.
Exel concerning a one-to-one correspondence between partial actions of groups and actions of inverse semigroups.
American Psychological Association (APA)
Ávila, Jesús& Marín, Víctor& Pinedo, Héctor. 2020. Isomorphism Theorems for Groupoids and Some Applications. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1172646
Modern Language Association (MLA)
Ávila, Jesús…[et al.]. Isomorphism Theorems for Groupoids and Some Applications. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1172646
American Medical Association (AMA)
Ávila, Jesús& Marín, Víctor& Pinedo, Héctor. Isomorphism Theorems for Groupoids and Some Applications. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1172646
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172646