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http://hdl.handle.net/20.500.12188/2031| Title: | Free groupoids in the class of power left and right idempotent groupoids | Authors: | Celakoska-Jordanova, Vesna | Keywords: | groupoid, subgroupoid, groupoid power, variety of groupoids, free groupoid | Issue Date: | 2008 | Publisher: | Hikari, Ltd. | Journal: | International Journal of Algebra | Abstract: | The subject of this paper is the class of groupoids such that any groupoid G = (G, ·) of this class has the property: every subgroupoid of G generated by any element a ∈ G satisfies the identity (xx)(yy) = xy. It is shown that this class is a variety. A construction and a characterization of free groupoids in this variety are obtained. The word problem is solvable for this variety. | URI: | http://hdl.handle.net/20.500.12188/2031 |
| Appears in Collections: | Faculty of Natural Sciences and Mathematics: Journal Articles |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Free Groupoids in the Class of Power Left and Right Idempotent Groupoids.pdf | 116.26 kB | Adobe PDF |  View/Open |
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