What is an algebra?

abstract-algebra definition

Is an algebra or 'a algebra' the same thing as an algebraic structure? Or does it have a different meaning?

Thanks


Solution 1:

Depends a bit on the context, but "an algebra" is often taken to mean a specific kind of algebraic structure, namely, a vector space with a multiplication operation (or a ring with a vector space structure). See, for example, this Wikipedia entry.

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