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Motivation from Ring Theory

In: Classically Semisimple Rings

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  • Martin Mathieu

    (Queen’s University Belfast, School of Mathematics and Physics)

Abstract

In this chapter, the reader will become familiar with our notation and basic assumptions on the one hand; on the other, they are invited to various instances where the setting of Ring Theory in its strictest sense turns out to be too narrow, or at least somewhat cumbersome, in order to provide us with enough tools for studying certain properties of rings. We shall take this as part of our motivation to introduce the more comprehensive setting of modules below.

Suggested Citation

  • Martin Mathieu, 2022. "Motivation from Ring Theory," Springer Books, in: Classically Semisimple Rings, chapter 1, pages 1-14, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-14209-3_1
    DOI: 10.1007/978-3-031-14209-3_1
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