Original Research Article

Article volume = 2023 and issue = 2

Pages: 132–139

Article publication Date: November 25, 2023

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Principally Supplemented Semimodules

Ahmed H. Alwan

Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq

Abstract:

In this work, principally supplemented semimodules are defined which generalize supplemented semimodules. Some properties of principally supplemented semimodules are investigated. We show that if A = A1 ⊕A2 is duo semimodule with A1 and A2 are principally supplemented semimodules, then A is principally supplemented. It is also proved that if A is an indecomposable semimodule, then A is principally supplemented semimodule if and only if A is principally lifting semimodule.

Keywords:

Supplemented semimodules, Lifting semimodules, Principally supplemented semimodules, Principally lifting semimodules, Semiperfect semimodules.

References:
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Cite this article as:
  • Ahmed H. Alwan, Principally Supplemented Semimodules, Communications in Combinatorics, Cryptography & Computer Science, 2023(2), PP.132–139, 2023
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