Locally-zero Groupoids and the Center of Bin(X)
| Autor: | Fayoumi, Hiba F. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Communications of the Korean Mathematical Society 26 (2011), No. 2, pp. 163-168 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4134/CKMS.2011.26.2.163 |
| Popis: | In this paper we introduce the notion of the center $ZBin(X)$ in the semigroup $Bin(X)$ of all binary systems on a set $X$, and show that if $(X,\bullet)\in ZBin(X)$, then $x\not=y$ implies $\{x,y\}=\{x\bullet y,y\bullet x\}$.Moreover, we show that a groupoid $(X,\bullet )\in ZBin(X)$ if and only if it is a locally-zero groupoid. Comment: 6 pages; http://koreascience.or.kr/article/JAKO201115037885418.pdf |
| Databáze: | arXiv |
| Externí odkaz: |
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