Results on metrizable bornological algebra

Ghazi, Zahraa Qais; Al-Nafie, Z. D.

doi:10.47974/JIM-1973

Open Access Research Article

Results on metrizable bornological algebra

^*Zahraa Qais GhaziCorresponding authorzahraa.qhazy.pure441@student.uobabylon.edu.iqDepartment of MathematicsCollege of Education of Pure SciencesUniversity of BabylonHilla, IraqView full profile → , Z. D. Al-Nafiepure.zahir.dobeas@uobabylon.edu.iqDepartment of MathematicsCollege of Education of Pure SciencesUniversity of BabylonHilla, IraqView full profile →

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pp. 781–785Vol. 28Issue 3-AApril 2025DOI: 10.47974/JIM-1973XML

Received:: 07 May 2024
Published Online:: 08 May 2025
Article type:: Research Article
Language:: EN
Article no.:: JIM-1973
Pages:: 781–785

Abstract

This work studied the concept of a bornological algebra using a metric focus. The theory of bornological algebra generalizes from the metric space structures to the bornological set setting. The construction of this set allows us to expand the frame of the metrizability of algebras by developing these algebras using tools of the bornological and metrical language simultaneously. In this work, we improve the notion of metrizable bornological algebra and introduce many essential constructions in the class of bornological algebra.

Keywords

Bornological spaces Metrizable spaces Bornology Topological algebra Metric bornology

Subject Classifications

Primary 93A30Secondary 49K15

References

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