Re: like a definition question about sub-algebra

What is your definition of "algebra", and what is the
"multiplicator
domain"?
Thank you for reply.
I used to the following definition of algebra:
Algebra is a ring which is a vector space over a field F.

Of course, if your definition of algebra is something
else, then the
answer might be something else.

Actually i was trying to solve the following problem: Let A be sub-algebra of R[X], generated by X^2 and X^3. Show that A isn't isomorphic with R[X].
Unfortunalety there wasn't a definition of the sub-algebra,generated by it's elements.Maybe you can deduce from the problem condition what was supposed by "sub-algebra of R[X], generated by X^2 and X^3".
Thanks
.

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