vector algebra vs algebra

vector algebra and algebra both are nouns.

Word	Noun	Adjective	Verb	Adverb
vector algebra	Yes	No	No	No
algebra	Yes	No	No	No

As nouns, algebra is a hypernym of vector algebra; that is, algebra is a word with a broader meaning than vector algebra:

vector algebra: the part of algebra that deals with the theory of vectors and vector spaces
algebra: the mathematics of generalized arithmetical operations

vector algebra (noun)	algebra (noun)
the part of algebra that deals with the theory of vectors and vector spaces	the mathematics of generalized arithmetical operations