In this article we define the tensor product of partial acts over a semigroup and prove several properties product. We also notion polite biact, which is needed to actions on acts. Finally, that certain functor left adjoint hom-functor

In this paper, we study trellis properties of the tensor product (product code) of two linear codes, and prove that the tensor product of the lexicographically first bases for two linear codes in minimal span form is exactly the lexicographically first basis for their product code in minimal span form, also the tensor products of characteristic generators of two linear codes are the characteris...

Abstract The deep theory of approximate subgroups establishes three-step product growth for subsets finite simple groups $G$ Lie type bounded rank. In this paper, we obtain two-step results representations such (including those unbounded rank), where products are replaced by tensor representations. Let be a group and $\chi $ character $G$. $|\chi |$ denote the sum squares degrees all (distinct)...