Some Constructions for Semimodules

Jonathan S. Golan
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Jonathan S. Golan: University of Haifa

Chapter 16 in Semirings and their Applications, 1999, pp 181-190 from Springer

Abstract: Abstract In this chapter we present three basic constructions associated with semimodules. The first of these, the construction of the module of differences of an R-semimodule, is based on the corresponding construction for semirings. The other two, decomposition of a semimodule into a direct sum of indecomposable summands and the construction of the tensor product of semimodules, are inspired by the corresponding constructions for modules over a ring. In each case, however, the results differ somewhat from those in module theory due to the allowances we have to make for being in a semimodule environment.

Date: 1999
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DOI: 10.1007/978-94-015-9333-5_16

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