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Let b and c be two elements in a semigroup S. This paper is devoted to studying the structures of S||(b,c) H(b,c) S, where stands for set all (b, c)-invertible = {y ? S | bS1 yS1, S1y S1c}. Denote c)-inverse by a||(b,c). If , ?, then {a||(b,c)| S||(b,c)}. We first find some new equivalent conditions group analyze its structure from viewpoint generalized inverses. Then necessary sufficient condi...

We study the hadronic molecular states with quark content $bc\overline{s}\overline{q}$ by investigating interactions of ${\overline{B}}_{s}D$, $\overline{B}{D}_{s}$, ${\overline{B}}_{s}^{*}D$, ${\overline{B}}^{*}{D}_{s}$, ${\overline{B}}_{s}{D}^{*}$, $\overline{B}{D}_{s}^{*}$, ${\overline{B}}_{s}^{*}{D}^{*}$, and ${\overline{B}}^{*}{D}_{s}^{*}$ systems. By solving Bethe-Salpeter equation within...