: While the primary 2nd Edition was published in 2010/2011, various reprints and "Classic Versions" have been released since, including updates in

: Often leading toward the structure of finitely generated modules over a Principal Ideal Domain (PID), which is crucial for understanding the Jordan Normal Form in linear algebra. www.pearson.com The "2021" and "PDF" Context While Michael Artin's (2nd Edition) was officially released by in 2010, it was reissued as part of the Pearson Modern Classics series in recent years. www.pearson.com

This chapter generalizes concepts from traditional linear algebra (usually done over fields) to modules over rings. Key sections include:

Some of Artin's notable contributions include: