Answer to Question #15229 in Abstract Algebra for abadhutamla
R, with the operations of pointwise addition and pointwise multiplication.
Which of the following form an ideal in this ring?
a. The set of all C^infinity functions with compact support.
b. The set of all continuous functions with compact support.
c. The set of all continuous functions which vanish at innity, i.e. functions
f such that lim x tends to infinity f(x) = 0
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