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**ENRIQUESTEFANINI** Hi:

Let V be a vector space over some field F. {V, F, +, .}

would be more formal but let us call V also to the abelian

group over which + acts. In wikipedia.org, article

"Vector space", I read: "A basis is defined as a set B =

{v_i} indexed by some set I", etc. If V is 3-dimentional,

v_1, v_2, v_3 belong to V and I = {1,2,3}, then, according

to wikipedia, (v_1, v_2, v_3} is not the same basis of V as

{v_2, v_1, v_3}. But according to some authors, which

define a basis merely as a set, they are. Who am I to believe?

Any suggestion will be welcome. Thanks for reading.