## A note on 0-adjoined soft semigroups.(English)Zbl 1474.20146

Summary: In this paper, we construct a Galois connection between the complete lattice of (soft) substructures of a (soft) semigroup and the complete lattice of (soft) substructures of the $$0(1)$$-adjoined (soft) semigroup, which will be crucial in the representation of soft substructures of a soft semigroup by their crisp cousins.

### MSC:

 20M75 Generalizations of semigroups 20N25 Fuzzy groups 20M10 General structure theory for semigroups 20M12 Ideal theory for semigroups 06A15 Galois correspondences, closure operators (in relation to ordered sets)
Full Text: