Study of some properties of P-field
*Hind F. AbbasCorresponding authorhind.f.abbas35386@st.tu.edu.iqDepartment of Mathematics College of Computer Science and Mathematics Tikrit UniversityDirectorate General of Education Salahaddin Ministry of EducationSalahaddin, 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 University Department of Mathematics and Computer Applications College of Science Al–Nahrain UniversityBaghdad, 10072, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 04 Oct 2022
- Published Online:
- 30 Oct 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1673
- Pages:
- 1843–1850
Abstract
Keywords
Subject Classifications
References
[1] A. S. Mohammed, S. H. Asaad, and I. S. Ahmed, “New properties of strongly regular left almost semi-group,” J. Discret. Math. Sci. Cryptogr., vol. 25, no. 2, pp. 615–622 (2022), doi: 10.1080/09720529.2021.1982491.
[2] Z. Wang and G. Klir, Generalized Measure Theory, 1st ed. Springer Science and Business Media, LLC, New York (2009).
[3] I. S. Ahmed and H. H. Ebrahim, “Generalizations of σ-field and new collections of sets noted by δ-field,” AIP Conf. Proc., vol. 2096, no. 20019, p. (020019-1 )-(020019-6) (2019), doi: 10.1063/1.5097816.
[4] I. S. Ahmed and H. H. Ebrahim, “On α-field and β-field,” J. Phys. Conf. Ser., vol. 1294, no. 3 (2019), doi: 10.1088/1742-6596/1294/3/032015.
[5] S. H. Asaad, I. S. Ahmed, and H. H. Ebrahim, “On Finitely Null-additive and Finitely Weakly Null-additive Relative to the σ–ring,” Baghdad Sci. J., no. March, pp. 1148–1154 (2022), doi: 10.21123/bsj.2022.5771.
[6] N. Endou, K. Nakasho, and Y. Shidama, “σ-ring and σ-algebra of Sets,” Formaliz. Math., vol. 23, no. 1, pp. 51–57 (2015), doi: 10.2478/forma-2015-0004.
[7] I. S. Ahmed, S. H. Asaad, and H. H. Ebrahim, “Some new properties of an outer measure on a σ–field,” J. Interdiscip. Math., vol. 24, no. 4, pp. 947–952 (2021), doi: 10.1080/09720502.2021.1884386.
[8] R. B. ASH, Real Analysis and Probability, 1st ed. Academic Press, Inc.(London) Ltd. (1972).
[9] H. H. Ebrahim and R. Ali, “λ–Algebra With Some Of Their Properties,” Ibn AL- Haitham J. Pure Appl. Sci., vol. 33, no. 2, pp. 72–80 (2020).
[10] L. C. Evans and R. F. Gariepy, Measure Theory and Fine Properties, 1st ed. CRC Press, New York (2015).
[11] M. M. Abbood, A. Al-fayadh, and H. H. Ebrahim, “On studying bi- Γ -algebra and some related concepts,” vol. 13, no. October 2021, pp. 1565–1572 (2022).
[12] Kareem, F. S., & Shlaka, H. M. : Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras. Wasit Journal of Computer and Mathematics Sciences, 1(2), 34-54 (2022).




