The Theory of Rings

The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation. This book describes the theory of rings in which both maximal and minimal conditions hold for ideals.
The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.

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