Measure defined on Γ–algebra and some of their generalizations

Abbood, Mohaimen Muhammed; Ebrahim, Hassan H.; Al-Fayadh, Ali; Obaid, Ahmed J.

doi:10.47974/JIM-1502

Open Access Research Article

Measure defined on Γ–algebra and some of their generalizations

^*Mohaimen Muhammed AbboodCorresponding authormohaimen.m.abbood35502@st.tu.edu.iqDepartment of Mathematics College of Computer Science and Mathematics Tikrit UniversityGeneral Directorate of Education Diyala Ministry of EducationDiyala, IraqView full profile → , Hassan H. Ebrahimhassan1962pl@tu.edu.iqDepartment of Mathematics College of Computer Science and Mathematics Tikrit UniversityTikrit, IraqView full profile → , Ali Al-Fayadhaalfayadh@yahoo.comDepartment of Mathematics and Computer Applications College of Science Al–Nahrain UniversityDepartment of Mathematics and Computer Applications College of Science Al–Nahrain UniversityBaghdad, 10072, IraqView full profile → , Ahmed J. Obaidahmedj.aljanaby@uokufa.edu.iqDepartment of Computer Science Faculty of Computer Science and Mathematics University of KufaKufa, Najaf, 54001, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 821–827Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1502XML

Received:: 06 Apr 2022
Accepted:: 10 May 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1502
Pages:: 821–827

Abstract

This work aims to introduce concepts about Γ–algebra calculate relative to Γ–algebra and outer measure in relation to Γ–algebra are examples. After that, we establish a relationship between them. The notions of null-additive and weakly null-additive as two generalizations of measure and extreme measure are introduced and studied too.

Keywords

Null-additive Σ_field Ring Γ–algebra measure

Subject Classifications

00A0500A06

Acknowledgements

Obaid (34_icmas_A)

References

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