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This document outlines lecture materials on modules over principal ideal domains. It begins with an introduction to modules over commutative rings, including definitions of modules, submodules, homomorphisms, and examples. It then focuses on modules over principal ideal domains, including their structure, presentations, and classification of finitely generated modules. The document discusses cyclic decompositions, equivalence of matrices, and rational/Jordan canonical forms for modules over polynomial rings

Author

Claribel Paola Serna Celin

Language

EN