- #1

- 57

- 0

A mathematical structure : is A set with an Object ( structure ) and there are generally two types of mathematical structure , which are algebraic structure and space ( geometric structure )

Eaxmples of algebraic structure are rings , fields , modules vector spaces ... act

Examples of spaces are topological space , metric space ... act

My question is the vector space is an algebraic structure ? And why is it called a space ( considered as space ) ?.

Does it mean because vector space can be used to represent spaces in geometry ?! So its called a space ! As it is an algebraic structure also !

Thanks