فهرست نشریات علمی دسترسی آزاد ایران

Let $S$ be a locally compact foundation semigroup with identity and $ M_{a}(S)$ be its semigroup algebra.  In the present article, we show that if $T$ is a bipositive isomorphism from $ M_{a}(S_{1})$ onto $ M_{a}(S_{2})$, then $T$ is an isometry  and $S_{1}$ and $S_{2}$  are isomorphic locally compact semigroups. Indeed, we have obtained a generalization of a well-known result of Wendel  [9] and Kawada  [6] for locally compact groups to a more general setting of locally compact foundation semigroups. Also we show that if $T$ is a bipositive isomorphism from $M_{a}(S_{1})^{**}$ onto $M_{a}(S_{2})^{**}$,  then  $S_{1}$ and $S_{2}$  are isomorphic locally compact semigroups.