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http://hdl.handle.net/20.500.12188/12093| Title: | Free power-slim groupoids | Authors: | Vesna Celakoska-Jordanova | Keywords: | Slim groupoid, mono-generated subgroupoid, free groupoid, injective groupoid | Issue Date: | May-2020 | Publisher: | World Scientific Publishing Company | Source: | Asian-European Journal of Mathematics, Vol.13, No. 8, 2050166 (2020) (14 pages) | Project: | Algebra, Analysis and Applications” of the Macedonian Academy of Sciences and Arts and Serbian Academy of Sciences and Arts | Journal: | Asian-European Journal of Mathematics | Series/Report no.: | ISSN (print): 1793-5571; | Conference: | Eight International Conference “Modern Trends in Science”, FMNS, 26.6.2019 - 30.6.2019, Blagoevgrad, Bulgaria | Abstract: | A power-slim groupoid is a groupoid that has the property: each of its mono-generated subgroupoids satisfies the identity x(yz)≈xz. The class Ps of power-slim groupoids is a variety. A description of free objects in this variety and a characterization of Ps-free groupoids by means of Ps-injective groupoids are obtained. It is shown that the class of Ps-injective groupoids and the class of Ps-free groupoids are hereditary. | URI: | http://hdl.handle.net/20.500.12188/12093 | DOI: | 10.1142/S1793557120501661 |
| Appears in Collections: | Faculty of Natural Sciences and Mathematics: Journal Articles |
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