| This paper mainly investigated strongly n-Gc-projective modules and X-^-transposes. First of all, this paper introduce the notions of strongly n-Gc-projective modules and (m, n)-strongly Gc-projective modules, where C is a semidualizing bimodule. and study the related properties of these modules. Then, introduce the notions of x-transposes and x-g-transposes of a given module, and discuss the properties and relations of these transposes. |