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ijs-3527
Direct sum of π-projective semimodules
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      Let A, and N  are a semiring ,and  a left A- semimodule, respectively. In this work we will discuss two cases: 

  1. The direct summand of π-projective semi module is π-projective, while the direct sum of two π-projective semimodules in general is not π-projective . The details of the proof will be given.
  2. We will give a condition under which the direct sum of two π-projective semi modules is π-projective, as well as we also set conditions under which π-projective semi modules are projective.

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