what are some of the examples considered to be a set?
One of the most familiar groups is the set of integers formula_1 which consists of the numbers.
Group (mathematics)
One of the most familiar groups is the set of integers formula_1 which consists of the numbers
when do we considered a group to be a set In mathematics, a group is a set equipped with a binary operation that combines any two elements to form a third element in such a way that four conditions called group axioms are satisfied, namely closure, associativity, identity and invertibility.
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Group (mathematics) [SEP] First example: the integers
One of the most familiar groups is the set of integers formula_1 which consists of the numbers The following properties of integer addition serve as a model for the group axioms given in the definition below. The integers, together with the operation +, form a mathematical object belonging to a broad class sharing similar structural aspects. To appropriately understand these structures as a collective, the following definition is developed.