On Dense Subsemimodules and Prime Semimodules

Authors

  • Ahmed H. Alwan Department of Mathematics, College of Education for Pure Sciences, Thi-Qar University, Thi-Qar, Iraq
  • Asaad M. A. Alhossaini Department of Mathematics, College of Education for Pure Sciences, Babylon University, Babylon, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.6.24

Keywords:

Semimodule, Semiring, Dense subsemimodule, Invertible ideal, Prime semimodule, Dedekind semidomain

Abstract

In this paper, we study the class of prime semimodules and the related concepts, such as the class of  semimodules, the class of Dedekind semidomains, the class of prime semimodules which is invariant subsemimodules of its injective hull, and the compressible semimodules. In order to make the work as complete as possible, we stated, and sometimes proved, some known results related to the above concepts.

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Published

2020-06-27

Issue

Section

Mathematics

How to Cite

On Dense Subsemimodules and Prime Semimodules. (2020). Iraqi Journal of Science, 61(6), 1446-1455. https://doi.org/10.24996/ijs.2020.61.6.24
Crossref
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Alwan A.H. (2024-01-01)
Generalizations of Supplemented and Lifting Semimodules. Iraqi Journal of Science, 65(7), 3876-3889.
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Alwan A.H. (2023-01-01)
Ss-supplemented semimodules. Journal of Interdisciplinary Mathematics, 26(5), 881-888.
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Aljebory K.S.H. (2023-01-01)
Almost Injective Semimodules. Iraqi Journal of Science, 64(9), 4634-4643.
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Alwan A.H. (2021-01-01)
Maximal ideal graph of commutative semirings. International Journal of Nonlinear Analysis and Applications, 12(1), 913-926.
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Alwan A.H. (2021-01-01)
A graph associated to proper non-small subsemimodules of a semimodule. International Journal of Nonlinear Analysis and Applications, 12(2), 499-509.
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Alwan A.H. (2020-01-01)
Dedekind multiplication semimodules. Iraqi Journal of Science, 61(6), 1488-1497.