PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)Vol. 38(52), pp. 65--68 (1985)
|
|
PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 38(52), pp. 65--68 (1985) |
|
|
ON FINITE-ELEMENT SIMPLE EXTENSIONS OF A COUNTABLE COLLECTION OF COUNTABLE GROUPOIDSSin-Min LeeDepartment of Pure and Applied Mathematics, Stevens Institute of Technology, Hoboken, New Jersey, 07030, USAAbstract: Belkin and Gorbunov [2] showed that any two finite groupoids can be imbedded into a finite simple groupoid. We prove here a stronger result: Any countable collection $\{A_i\}_{i\in I}$ of countable grupoids can be embedded into a simple groupoid $K(\bigcup_{i\in I} A_i)$ such that $K(\bigcup_{i\in I} A_i)-\bigcup_{i\in I}A_i$ contains only a single element which generates the whole groupoid. Classification (MSC2000): 20L05 Full text of the article:
Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
|