In this paper we introduce the concept of $(1,2)^*$-sb-separated sets and $(1,2)^*$-soft b-connected spaces and prove some properties related to these break topics. Also we disscused the properties of $(1,2)^*$-soft b- compactness in soft bitopological space

Let S be a locally compact foundation semigroup with identity and                          be its semigroup algebra. Let X be a weak*-closed left translation invariant subspace of    In this paper, we prove that  X  is invariantly  complemented in   if and  only if  the left ideal  of    has a bounded approximate identity. We also prove that a foundation semigroup with identity S is left amenab...

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The theory of finitely supported structures is used for dealing with very large sets having a certain degree symmetry. This framework generalizes the classical set Zermelo-Fraenkel by allowing infinitely many basic elements no internal structure (atoms) and equipping group actions permutation over these elements. On other hand, soft represent generalization fuzzy to deal uncertainty in parametr...