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Exchange Rings and Suitable Rings

In: Excursions in Ring Theory

Author

Listed:
  • T. Y. Lam

    (University of California, Berkeley, Department of Mathematics)

Abstract

This chapter is devoted to the study of a class of rings that are called exchange rings, later a.k.a. suitable rings. At the early stage of this study, the inspiration came from the seminal work on the direct decomposition of algebraic systems initiated (as early as in 1947) by Jònsson and Tarski in [JT]. With further impetus from the classical work of Wedderburn, Remak, Krull, Schmidt and Baer, Crawley and Jònsson published their influential paper [CJ] in 1964 on the study of isomorphic refinements of (possibly infinite) direct decompositions.

Suggested Citation

  • T. Y. Lam, 2026. "Exchange Rings and Suitable Rings," Springer Books, in: Excursions in Ring Theory, chapter 4, pages 299-377, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-26301-8_4
    DOI: 10.1007/978-3-032-26301-8_4
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