Some remarks on the uniqueness of decomposition into Cartesian product

摘要

A decomposition into Cartesian product of prime factors is, in general, not unique. Most of positive results concerning the decomposition uniqueness deal with 1-dimensional spaces. In the paper we give some sufficient conditions on factors for the uniqueness of decomposition to hold without any dimension restrictions. (C) 2015 Elsevier B.V. All rights reserved.