ALGEBRAIC HYPERSTRUCTURES OF SOFT SETS ASSOCIATED TO N-ARY POLYGROUPS

This paper concerns a relationship between soft sets and n-arypolygroups. We consider the notion of an n-ary polygroup as a generalization ofa polygroup and apply the notion of soft sets to n-ary polygroups. Some relatednotions are defined and several basic properties are discussed by using the softset theory. Furthermore, we propose the homomorphism of n-ary polygroupsand investigate the properties which are preserved under the homomorphism

Keywords:

n-ary polygroup soft set, strong homomorphism,

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Department of Mathematics, Karadeniz Technical University, 61080, Trabzon, Turkey
E-mail address: serifeyilmaz@ktu.edu.tr E-mail address: kazancio@yahoo.com