Direct sum of π-projective semimodules | Zendy

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

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Direct sum of π-projective semimodules

Author(s) -

Muna M. T. Altaee,

Asaad. A. M. Alhossaini

Publication year - 2022

Publication title -

iraqi journal of science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.152

H-Index - 4

eISSN - 2312-1637

pISSN - 0067-2904

DOI - 10.24996/ijs.2022.63.1.22

Subject(s) - projective test , mathematics , projective space , collineation , pure mathematics , set (abstract data type) , projective linear group , quaternionic projective space , discrete mathematics , combinatorics , algebra over a field , complex projective space , computer science , programming language

Let A, and N are a semiring ,and a left A- semimodule, respectively. In this work we will discuss two cases: 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. 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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