Direct sum of π-projective semimodules

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

DOI:

https://doi.org/10.24996/ijs.2022.63.1.22

Keywords:

π-projective semimodule, finitely generated semimodule, finite dimensional semimodule, hereditary semimodule

Abstract

      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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Published

2022-01-30

Issue

Section

Mathematics

How to Cite

Direct sum of π-projective semimodules. (2022). Iraqi Journal of Science, 63(1), 214-221. https://doi.org/10.24996/ijs.2022.63.1.22

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