FI-Extending Semimodule and Singularity | Zendy

Samah Alhashemi | Zendy; Asaad M. A. Alhossaini | Zendy

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FI-Extending Semimodule and Singularity

Author(s) -

Samah Alhashemi,

Asaad M. A. 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.2022.63.3.32

Subject(s) - singularity , mathematics , invariant (physics) , pure mathematics , mathematical analysis , mathematical physics

The main aim of this research is to present and to study several basic characteristics of the idea of FI-extending semimodules. The semimodule is said to be an FI-extending semimodule if each fully invariant subsemimodule of is essential in direct summand of . The behavior of the FI-extending semimodule with respect to direct summands as well as the direct sum is considered. In addition, the relationship between the singularity and FI-extending semimodule has been studied and investigated. Finally extending propertywhich is stronger than FI extending, that has some results related to FI-extending and singularity is also investigated.

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