π-Projective Semimodule Over Semiring

Authors

  • Muna M.T. Altaee College of Education for Pure Science, University of Babylon
  • Asaad A. M. Alhossaini College of Education for Pure Science, University of Babylon

Keywords:

semisubtractive semimodule, subtractive subsemimodule, π-projective semimodule, quasi-projective semimodule,, dividing semimodule

Abstract

   Previously the concept of π-projective modules over ring was studied by some authors. The aim of this research is to give a comprehensive study of π-projective semimodule and access to some new properties and characterizations for this class of semimodules.          

Let S be a commutative semiring with identity 1≠0 and T a unital left semimodule, then we say that T is π-projective  if for every two subsemimodules M and L of T with T=M+L, there exist f and g ϵEnd(T), such that f +g=1Tf(T) M and g(T) L.

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Published

2020-04-01

How to Cite

[1]
M. M. . Altaee and A. A. M. . Alhossaini, “π-Projective Semimodule Over Semiring”, JUBPAS, vol. 28, no. 1, pp. 122-137, Apr. 2020.

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