An introduction to the theory of algebraic multi-hyperring spaces
A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In this paper, applying the Smarandaches notion and comb...
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| Format: | Article |
| Language: | English |
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Sciendo
2014-09-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2014-0050 |
| _version_ | 1818307401617506304 |
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| author | Hila Kostaq Davvaz Bijan |
| author_facet | Hila Kostaq Davvaz Bijan |
| author_sort | Hila Kostaq |
| collection | DOAJ |
| description | A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In this paper, applying the Smarandaches notion and combining this with hyperrings in hyperring theory, we introduce the notion of multi-hyperring space and initiate a study of multi-hyperring theory. Some characterizations and properties of multi-hyperring spaces are investigated and obtained. Some open problems are suggested for further study and investigation. |
| first_indexed | 2024-12-13T06:57:48Z |
| format | Article |
| id | doaj.art-408d32d66171406d8ab6efe5c31bf52f |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T06:57:48Z |
| publishDate | 2014-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-408d32d66171406d8ab6efe5c31bf52f2022-12-21T23:56:00ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352014-09-01223597210.2478/auom-2014-0050An introduction to the theory of algebraic multi-hyperring spacesHila Kostaq0Davvaz Bijan1Department of Mathematics & Computer Science, Faculty of Natural Sciences University of Gjirokastra, Albania.Department of Mathematics, Yazd University, Yazd, Iran.A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In this paper, applying the Smarandaches notion and combining this with hyperrings in hyperring theory, we introduce the notion of multi-hyperring space and initiate a study of multi-hyperring theory. Some characterizations and properties of multi-hyperring spaces are investigated and obtained. Some open problems are suggested for further study and investigation.https://doi.org/10.2478/auom-2014-0050hyperringsmulti-hyperring spacehyperideal subspace chainsmarandache multi-spaceprimary 20n20secondary 16y99 |
| spellingShingle | Hila Kostaq Davvaz Bijan An introduction to the theory of algebraic multi-hyperring spaces Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica hyperrings multi-hyperring space hyperideal subspace chain smarandache multi-space primary 20n20 secondary 16y99 |
| title | An introduction to the theory of algebraic multi-hyperring spaces |
| title_full | An introduction to the theory of algebraic multi-hyperring spaces |
| title_fullStr | An introduction to the theory of algebraic multi-hyperring spaces |
| title_full_unstemmed | An introduction to the theory of algebraic multi-hyperring spaces |
| title_short | An introduction to the theory of algebraic multi-hyperring spaces |
| title_sort | introduction to the theory of algebraic multi hyperring spaces |
| topic | hyperrings multi-hyperring space hyperideal subspace chain smarandache multi-space primary 20n20 secondary 16y99 |
| url | https://doi.org/10.2478/auom-2014-0050 |
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