Some special elements and pseudo inverse functions in groupoids
- Title
- Some special elements and pseudo inverse functions in groupoids
- Author
- 김희식
- Keywords
- (completely) (LL-) special element; pseudo inverse; linear groupoid
- Issue Date
- 2019-02
- Publisher
- MDPI
- Citation
- MATHEMATICS, v. 7, no. 2, Page. 173-179
- Abstract
- In this paper, we consider a theory of elements u of a groupoid (X,∗) that are associated with certain functions uˆ: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.
- URI
- https://www.mdpi.com/2227-7390/7/2/173https://repository.hanyang.ac.kr/handle/20.500.11754/107492
- ISSN
- 2227-7390
- DOI
- 10.3390/math7020173
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
- Some Special Elements and Pseudo Inverse Functions in Groupoids.pdfDownload
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