- direct product
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Math.a group, or other such system, every element of which can be written uniquely as the product of elements of disjoint groups, with each group contributing one element to the product.[1920-25]
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Universalium. 2010.
direct product
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Direct product — In mathematics, one can often define a direct product of objects already known, giving a new one. This is generally the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one… … Wikipedia
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direct product — I. noun : scalar product II. noun : cartesian product herein ; especially : a group that is the Cartesian product of two other groups * * * Math. a group, or other such system, every element of which can be written uniquely as the … Useful english dictionary
direct product — noun Date: circa 1925 Cartesian product; especially a group that is the Cartesian product of two other groups … New Collegiate Dictionary
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Product of rings — In mathematics, it is possible to combine several rings into one large product ring. This is done as follows: if I is some index set and Ri is a ring for every i in I, then the cartesian product Πi in I Ri can be turned into a ring by defining… … Wikipedia
Product (category theory) — In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct… … Wikipedia
