Open AccessDirect 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.