Modules and Ideals
The concept of a module that we consider in this chapter is a composite notion based on the concepts of a ring and of a group with operators. Modules are of fundamental importance in the study of homomorphisms of abstract rings into rings of endomorphisms of commutative groups (so-called representation theory). This was first recognized by Emmy Noether. Previously the concept of a module had made its appearance in the theory of algebraic numbers.
KeywordsPrimary Ideal Commutative Ring Uniqueness Theorem Left Ideal Noetherian Ring
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