Repository of UKIMhttps://repository.ukim.mk:443The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Tue, 25 Feb 2020 15:01:19 GMT2020-02-25T15:01:19Z5051Free power-associative n-ary groupoidshttp://hdl.handle.net/20.500.12188/2050Title: Free power-associative n-ary groupoids
Authors: Celakoska-Jordanova, Vesna; Miovska, Valentina
Abstract: A power-associative n-ary groupoid is an n-ary groupoid G such that for every element
a in G, the n-ary subgroupoid of G generated by a is an n-ary subsemigroup of G. The class Pa of
power-associative n-ary groupoids is a variety. A description of free objects in this variety and their
characterization by means of injective n-ary groupoids in Pa are obtained.
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/20.500.12188/20502019-01-01T00:00:00ZOn a class of n-groupoidshttp://hdl.handle.net/20.500.12188/1966Title: On a class of n-groupoids
Authors: Janeva, Biljana; Miovska, Valentina; Celakoska-Jordanova, Vesna
Abstract: Using the notion of vector valued semigroups, i.e. (m+k,m)-semigroups, a special class of n-groupoids , named m|k-semigroups, is introduced and some examples of m|k semigroups are given. It is shown that the general associative law (GAL) for m|k-semigroups holds, and someand some consequences of GAL are obtained.A description of the universal semigroup of an m|k-semigroup is given. The notion of m|k-group is also introduced and some properties are shown.
Wed, 01 Jan 2003 00:00:00 GMThttp://hdl.handle.net/20.500.12188/19662003-01-01T00:00:00ZАлгебарски n-арни структуриhttp://hdl.handle.net/20.500.12188/2057Title: Алгебарски n-арни структури
Authors: Miovska, Valentina; Celakoska-Jordanova, Vesna
Tue, 01 Dec 2015 00:00:00 GMThttp://hdl.handle.net/20.500.12188/20572015-12-01T00:00:00ZA note on compatible binary relations on vector valued hypersemigoupshttp://hdl.handle.net/20.500.12188/2025Title: A note on compatible binary relations on vector valued hypersemigoups
Authors: Miovska, Valentina; Celakoska-Jordanova, Vesna
Abstract: In this note we present some properties concerning the connection
between vector valued hypersemigroups and various kinds of
compatible binary relations defined on them, i.e. i-compatible, compatible,
strongly i-compatible, strongly compatible, regular and strongly
i-regular binary relations.
Sun, 01 Oct 2017 00:00:00 GMThttp://hdl.handle.net/20.500.12188/20252017-10-01T00:00:00ZVector valued hyperstructureshttp://hdl.handle.net/20.500.12188/2027Title: Vector valued hyperstructures
Authors: Miovska, Valentina; Celakoska-Jordanova, Vesna; Davvaz, Bijan
Abstract: Vector valued hyperstructures, i.e., (n,m)-hyperstructures, where n =
m + k, k >= 1, as a generalization of vector valued structures and n-ary hyperstructures
are introduced and supported by many examples. We have presented some
initial properties about (n,m)-hypersemigroups and (n,m)-hypergroups. Moreover,
by properly defining regular and strongly regular binary relations, from vector valued
hypersemigroups (hypergroups) we obtain "ordinary" vector valued semigroups
(groups) on quotients.
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/20.500.12188/20272018-01-01T00:00:00Z