e/Product of rings

Information
has gloss	eng: 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 the operations coordinatewise, i.e. :(ai) + (bi) = (ai + bi) :(ai) · (bi) = (ai · bi) The resulting ring is called a direct product of the rings Ri. The direct product of finitely many rings R1,...,Rk is also written as R1 × R2 × ... × Rk or R1 ⊕ R2 ⊕ ... ⊕ Rk, and can also be called the direct sum of the rings Ri.
lexicalization	eng: product of rings
instance of	(noun) an operation that follows the rules of Boolean algebra; each operand and the result take one of two values binary arithmetic operation, boolean operation, binary operation

Meaning
French
lexicalization	fra: Produit d'anneaux
Dutch
has gloss	nld: Voorbeelden Het belangrijkste voorbeeld is de ring Z/nZ van gehele getallen modulo n. Als n wordt geschreven als een product van priem machten (zie hoofdstelling van de rekenkunde): :n=p_1}^n_1}\ p_2}^n_2}\ \cdots\ p_k}^n_k}
lexicalization	nld: product van ringen