Michael Artin is widely regarded as a modern classic for honors undergraduate and introductory graduate courses. Your request likely refers to Chapter 14 of the second edition, titled Linear Algebra in a Ring which focuses on the theory of The Evolution of Michael Artin’s
| Resource | Coverage of Modules over PIDs | Availability | |----------|-------------------------------|---------------| | (3rd ed.) | Chapter 12 (Modules over PIDs) – very detailed | Widely available in PDF via library | | Lang, Algebra (Revised 3rd ed.) | Chapter III (Modules) – more advanced, less friendly | Springer’s ebook | | Hoffman & Kunze, Linear Algebra (2nd ed.) | Chapter 7 (Jordan Form via modules) – a classic | Low-cost Dover reprint | | Judson, Abstract Algebra: Theory and Applications (Open Source) | Section 13.4 – free and legal PDF online | Free under GFDL license | michael artin algebra pdf 14 2021