Abstract
In this chapter, abstract vector spaces and their subspaces are introduced and their elementary properties are established. Elementary properties of the lattice of subspaces of a vector space, such as the Modular Law, are proven. Direct products and coproducts are used to construct new spaces from given ones. Generating sets for vector spaces are defined and studied, and the notion of a finitely-generated space is introduced.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
