Cyclic subgroupoids of an absolutely free groupoid

Celakoska-Jordanova, Vesna

Ве молиме користете го овој идентификатор да го цитирате или поврзете овој запис: http://hdl.handle.net/20.500.12188/1965

DC Field	Value	Language
dc.contributor.author	Celakoska-Jordanova, Vesna	en_US
dc.date.accessioned	2019-04-19T05:23:36Z	-
dc.date.available	2019-04-19T05:23:36Z	-
dc.date.issued	2007	-
dc.identifier.uri	http://hdl.handle.net/20.500.12188/1965	-
dc.description.abstract	Subgroupoids of an absolutely free groupoid F = (F,⋅) with a free basis B that are generated by one element (called cyclic subgroupoids of F ) are considered. It is shown that: two cyclic subgroupoids of F have common elements if and only if one of them is contained in the other; F has maximal cyclic subgroupoids and if card(B) ≥ 2 , every cyclic subgroupoid is contained in a maximal one; any two maximal cyclic subgroupoids of F are either disjoint or equal. Also, a characterization of maximal cyclic subgroupoids of F by means of primitive elements in F is given. This statements are also true for an absolutely free groupoid with one-element basis (with modified definition of maximal cyclic subgroupoid).	en_US
dc.language.iso	en	en_US
dc.publisher	Union of Mathematicians of Macedonia	en_US
dc.relation.ispartof	Proceedings of III Congress of Mathematicians of Macedonia, Struga, R. Macedonia, 29.IX.2005-2.X.2005	en_US
dc.subject	groupoid, subgroupoid, generating element, cyclic subgroupoid, free groupoid.	en_US
dc.title	Cyclic subgroupoids of an absolutely free groupoid	en_US
dc.type	Article	en_US
dc.relation.conference	III Congress of Mathematicians of Macedonia, Struga, R. Macedonia, 29.IX.2005-2.X.2005	en_US
item.fulltext	With Fulltext	-
item.grantfulltext	open	-
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Conference papers