On semi ring bornologies
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...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57189/1/On%20semi%20ring%20bornologies.pdf |
| _version_ | 1825931563257298944 |
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| author | Imran, Anwar Nooraldeen Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_facet | Imran, Anwar Nooraldeen Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_sort | Imran, Anwar Nooraldeen |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T09:28:38Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57189 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:38Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-571892017-09-08T09:43:28Z http://psasir.upm.edu.my/id/eprint/57189/ On semi ring bornologies Imran, Anwar Nooraldeen Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini 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. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57189/1/On%20semi%20ring%20bornologies.pdf 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). 10.1063/1.4952489 |
| spellingShingle | Imran, Anwar Nooraldeen Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini On semi ring bornologies |
| title | On semi ring bornologies |
| title_full | On semi ring bornologies |
| title_fullStr | On semi ring bornologies |
| title_full_unstemmed | On semi ring bornologies |
| title_short | On semi ring bornologies |
| title_sort | on semi ring bornologies |
| url | http://psasir.upm.edu.my/id/eprint/57189/1/On%20semi%20ring%20bornologies.pdf |
| work_keys_str_mv | AT imrananwarnooraldeen onsemiringbornologies AT rakhimovisamiddinsattarovich onsemiringbornologies AT saidhusainsharifahkartini onsemiringbornologies |