Miovska, Valentina

Preferred name
Miovska, Valentina
Official Name
Miovska, Valentina
Main Affiliation
Email
miovska@pmf.ukim.mk

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    A note on compatible binary relations on vector valued hypersemigoups
    (Union of Mathematicians of Macedonia, 2017-10)
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    Celakoska-Jordanova, Vesna
    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.
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    Free power-associative n-ary groupoids
    (De Gryter, 2019-01)
    Celakoska-Jordanova, Vesna
    ;
    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.
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    Vector valued hyperstructures
    (Faculty of Science, University of Kragujevac, Kragujevac, Serbia, 2018)
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    Celakoska-Jordanova, Vesna
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    Davvaz, Bijan
    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.
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    On a class of n-groupoids
    (Union of Mathematicians of Macedonia, 2003)
    Janeva, Biljana
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    Celakoska-Jordanova, Vesna
    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.