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

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)...

A rank 3 tensor product network has 3 dimensions of size p, q, and r, say. Its processing units include pqr Networks Using Distributed binding units, and input/output units grouped into 3 Representations vectors of length p, q and r. Typically one of the I/O vectors represents a predicate, and the other two represent William H. Wilson a pair of arguments. The information represented in the Comp...

Jihao Fan, ∗ Yonghui Li, † Min-Hsiu Hsieh, ‡ and Hanwu Chen 4, § School of Computer Science and Engineering, Southeast University, Nanjing, Jiangsu 211189, China School of Electrical and Information Engineering, University of Sydney, Sydney, NSW 2006, Australia Centre for Quantum Computation and Intelligent Systems, Faculty of Engineering and Information Technology, University of Technology Syd...