You are using an out of date browser. It may not display this or other websites correctly. You should upgrade or use an alternative browser.
module 5
In mathematics, particularly in algebra, the class of projective modules enlarges the class of free modules (that is, modules with basis vectors) over a ring, by keeping some of the main properties of free modules. Various equivalent characterizations of these modules appear below.
Every free module is a projective module, but the converse fails to hold over some rings, such as Dedekind rings that are not principal ideal domains. However, every projective module is a free module if the ring is a principal ideal domain such as the integers, or a polynomial ring (this is the Quillen–Suslin theorem).
Projective modules were first introduced in 1956 in the influential book Homological Algebra by Henri Cartan and Samuel Eilenberg.
Grab na guys habang available pa. just please hit like button for more useful sharing. thanks
Hidden content
*Take note that this is limited time only guys and please pa feedback na lang guys if buhay pa yung link. Enjoy 😊