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Semimodules over Semirings

In: Semirings and their Applications

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  • Jonathan S. Golan

    (University of Haifa)

Abstract

The modules over a ring are an important tool in characterizing properties of the ring and so it is only natural that we should look at the corresponding construction over semirings. And, indeed, many of the constructions from ring theory can be transfered, at least partially, to this more general setting. Moreover, many important constructions in pure and applied mathematics can, as we shall see, be understood as semimodules over appropriate semirings. In this chapter we lay the foundations for the study of semimodules.

Suggested Citation

  • Jonathan S. Golan, 1999. "Semimodules over Semirings," Springer Books, in: Semirings and their Applications, chapter 14, pages 149-161, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-9333-5_14
    DOI: 10.1007/978-94-015-9333-5_14
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