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The Isomorphism Theorems

In: Classically Semisimple Rings

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  • Martin Mathieu

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

Abstract

Just as in group theory and in ring theory, we need to be able to manipulate modules freely under isomorphisms; this is done via the so-called isomorphism theorems which are discussed in this short chapter. The second part of this chapter deals with connections between categories, the functors, and with connections between the functors, the natural transformations.

Suggested Citation

  • Martin Mathieu, 2022. "The Isomorphism Theorems," Springer Books, in: Classically Semisimple Rings, chapter 3, pages 25-33, Springer.
  • Handle: RePEc:spr:sprchp:978-3-031-14209-3_3
    DOI: 10.1007/978-3-031-14209-3_3
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