English-Spanish translations for direct product

The set of all possible tuples whose elements are elements of given, separately specified, sets
Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups
Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations
A topological space analogously formed from two or more topological spaces
A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects

If A and B are sets, their direct product is the set of ordered pairs (a,b) with a in A and b in B
A Boolean ring of order $2^n$ (or dimension $n$ ) may be constructed as the direct product of $n$ Boolean rings of dimension one.

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