Fully SP-acts

Saied, Samir M; Omer, Iqbal A

doi:10.47974/JDMSC-2318

Open Access Research Article

Fully SP-acts

^*Samir M SaiedCorresponding authorsamirsaied82@gmail.comDepartment of MathematicsMinistry of EducationOpen Educational CollegeWasit, IraqView full profile → , Iqbal A OmerIqbal.omer@uoitc.equ.iqDepartment of Internal ControlUniversity of Information Technology and CommunicationsBaghdad, IraqView full profile →

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pp. 155–160Vol. 29Issue 1January 2026DOI: 10.47974/JDMSC-2318 Crossmark XML

Received:: 05 Mar 2025
Published Online:: 15 Jan 2026
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2318
Pages:: 155–160

Abstract

Purity is one of the important concepts in Algebra, which was studied by many others in Acts, modules, and groups. An K-K-subact B of K-act is SP-sub-act, if every a ∈ A and a ∉ B, there is a pure K-subact P of A that contains B and a ∉ P. Now we describe that an SP-sub-act L in K-act A, if and only if, Lj are pure K-subacts of A, for each j ∈ J, and L = ∩j∈J Lj. SP-subact as a generalization of purity. We discuss many Algebraic properties. We found the relationship between SP-sub-act idempotent subact, and multiplication.

Keywords

Pure sub-K-acts Idempotent Multiplication act

Subject Classifications

Primary 93A30Secondary 49K15

References

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