UPM Institutional Repository

On semi ring bornologies


Imran, Anwar Nooraldeen and Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini (2016) On semi ring bornologies. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7).


Our main focus in this work is to introduce new structure bornological semi rings. This generalizes the theory of algebraic semi rings from the algebraic setting to the framework of bornological sets. We give basic properties for this new structure. As well as, We study the fundamental construction of bornological semi ring as product, inductive limits and projective limits and their extensions on bornological semi ring. Additionally, we introduce the category of bornological semi rings and study product and pullback (fiber product) in the category of bornological semi rings.

Download File

PDF (Abstract)
On semi ring bornologies.pdf

Download (31kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4952489
Publisher: AIP Publishing
Keywords: Bornological semi ring; Structure
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 09:43
Last Modified: 08 Sep 2017 09:43
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952489
URI: http://psasir.upm.edu.my/id/eprint/57189
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item