Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12188/1967
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Celakoska-Jordanova, Vesna | en_US |
dc.date.accessioned | 2019-04-19T06:05:49Z | - |
dc.date.available | 2019-04-19T06:05:49Z | - |
dc.date.issued | 2007 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12188/1967 | - |
dc.description.abstract | A construction of free objects in the variety V_(m) of groupoids defined by the identity xx^(m)=x^(m+1), where m is a fixed positive integer, and (k) is a transformation of a groupoid G=(G, .), defined by x^(0)=x, x^(k+1)=(x^(k))^2, is given. A class of injective groupoids in V_(m) is defined and a corresponding Bruck theorem for this variety is proved. It is shown that the class of free groupoids in V_(m) is a proper subclass of the class of injective groupoids in V_(m) . | en_US |
dc.language.iso | en | en_US |
dc.publisher | Faculty of Mathematics and Natural Sciences, South-West University "Neofit Rilsky", Blagoevgrad, Bulgaria | en_US |
dc.relation.ispartof | Proc. of the Second Int. Sc. Conf. 6-10.06.2007, FMNS, South-West University "Neofit Rilsky", Blagoevgrad | en_US |
dc.subject | groupoid, free groupoid, injective groupoid | en_US |
dc.title | Free objects in the variety of groupoids defined by the identity xx^(m)=x(m+1) | en_US |
dc.type | Article | en_US |
dc.relation.conference | Second International Scientific Conference, 6-10.06.2007, FMNS, South-West University "Neofit Rilsky", Blagoevgrad, Bulgaria | en_US |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
Appears in Collections: | Faculty of Natural Sciences and Mathematics: Conference papers |
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Free objects in the variety of groupoids defined by the identity xx(m)=x(m+1).pdf | 373.26 kB | Adobe PDF | View/Open |
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