Bornological Transformation Group
DOI:
https://doi.org/10.29304/jqcm.2021.13.4.856Keywords:
Bornological set, Bornological group, Bounded set, Bounded map, Group actionAbstract
In this paper, the researcher recalls the definitions of bornological set & bornological group and gives some examples in detalis. Additionally, the primary goal of this research is to introduce bornological transformation group, which are formulated on bornological group acts on bornological set. We observe that in the bornological transformation group bornological set can be partitioned into orbits. The main important part was that, researcher shows that the bornological transformation group is bornological isomorphism.
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References
[1] IMRAN A.N. Bornological structures on some algebraic system. Published online 2018.
[2] Bambozzi F. Closed graph theorems for bornological spaces. arXiv preprint arXiv:150801563. Published online 2015.
[3] Bambozzi F. On a generalization of affinoid varieties. arXiv preprint arXiv:14015702. Published online 2014.
[4] Pombo Jr DP. On bornological group of continuous mappings. In: International Mathematical Forum. Vol 9. ; 2014:217-224.
[5] Imran AN, Rakhimov IS. Further properties of bornological groups. Published online 2017.
[6] Imran A. N, Rakhimov IS, Husain SKS. On semigroup bornologies. Published online 2017.
[7] Imran A. N, Husain SKS. Semi bornological groups. In: Journal of Physics: Conference Series. Vol 1366. IOP Publishing; 2019:12071
[8] L. A. Majed, “Compare the category of G-bornological group and G-topological group,” J. Phys. Conf. Ser., vol. 1664, no. 1, 2020, doi: 10.1088/1742-6596/1664/1/012040.
[9] F. Kamil Majeed Al-Basri, “The Relationship Between Boronological Convergence of Net and Topological Convergence of Net”, JQCM, vol. 6, no. 2, pp. 65-76, Aug. 2017.
[10] F. Kamil Al-Basri, “On Semi –Complete Bornological Vector Space”, JQCM, vol. 9, no. 1, pp. 40-48, Aug. 2017.
[11] G. Arif, S. Wuhaib, and M. Rashad, “Infected Intermediate Predator and Harvest in Food Chain”, JQCM, vol. 12, no. 1, pp. Math Page 120 -, Apr. 2020.
[12] R. Ali .Zboon, J. Ramadhan.Kider, and S. Kasim .Hassan, “Solvability of Linear Perturbed Sylvester Dynamical System in Infinite Dimensional Space Using Perturbed Composite Semigroup Approach”, JQCM, vol. 3, no. 1, pp. 137-160, Sep. 2017.
[2] Bambozzi F. Closed graph theorems for bornological spaces. arXiv preprint arXiv:150801563. Published online 2015.
[3] Bambozzi F. On a generalization of affinoid varieties. arXiv preprint arXiv:14015702. Published online 2014.
[4] Pombo Jr DP. On bornological group of continuous mappings. In: International Mathematical Forum. Vol 9. ; 2014:217-224.
[5] Imran AN, Rakhimov IS. Further properties of bornological groups. Published online 2017.
[6] Imran A. N, Rakhimov IS, Husain SKS. On semigroup bornologies. Published online 2017.
[7] Imran A. N, Husain SKS. Semi bornological groups. In: Journal of Physics: Conference Series. Vol 1366. IOP Publishing; 2019:12071
[8] L. A. Majed, “Compare the category of G-bornological group and G-topological group,” J. Phys. Conf. Ser., vol. 1664, no. 1, 2020, doi: 10.1088/1742-6596/1664/1/012040.
[9] F. Kamil Majeed Al-Basri, “The Relationship Between Boronological Convergence of Net and Topological Convergence of Net”, JQCM, vol. 6, no. 2, pp. 65-76, Aug. 2017.
[10] F. Kamil Al-Basri, “On Semi –Complete Bornological Vector Space”, JQCM, vol. 9, no. 1, pp. 40-48, Aug. 2017.
[11] G. Arif, S. Wuhaib, and M. Rashad, “Infected Intermediate Predator and Harvest in Food Chain”, JQCM, vol. 12, no. 1, pp. Math Page 120 -, Apr. 2020.
[12] R. Ali .Zboon, J. Ramadhan.Kider, and S. Kasim .Hassan, “Solvability of Linear Perturbed Sylvester Dynamical System in Infinite Dimensional Space Using Perturbed Composite Semigroup Approach”, JQCM, vol. 3, no. 1, pp. 137-160, Sep. 2017.
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Published
2021-11-29
How to Cite
Sadiq, F. J., Ibrahimb, H. H., & Imran, A. N. (2021). Bornological Transformation Group. Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(4), Math Page 1– 6. https://doi.org/10.29304/jqcm.2021.13.4.856
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Math Articles
