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Direct sum of π-projective semimodules

Iraqi Journal of Science, ISSN: 2312-1637, Vol: 63, Issue: 1, Page: 214-221
2022
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Article Description

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.

Bibliographic Details

Muna M. T. Altaee; Asaad. A. M. Alhossaini

University of Baghdad College of Science

Biochemistry, Genetics and Molecular Biology; Computer Science; Chemistry; Earth and Planetary Sciences

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