In this paper, we first give the definition of soft uni-product and characterize soft uni-groups as regards this definition and we prove a number of results and give some alternative formulations about soft uni-groups by using the the concepts of normal soft uni-subgroups, characteristic soft uni-groups, conjugate soft uni-groups, soft normalizer and commutator of a group, which are analogs of significant results in group theory.
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Mustuoglu et al. (2016) studied this question.