Some properties of residual mapping and convexity in ∧-hyperlattices
The aime of this paper is the study of residual mappings and convexity in hyperlattices. To get this point, we study principal down set in hyperlattices and we give some conditions for a mapping between two hyperlattices to be equivalent with a residual maping. Also, we investigate convex subsets in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2014-12-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/30 |
| _version_ | 1811315479754571776 |
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| author | Reza Ameri Mohsen Amiri-Bideshki A. Borumand Saeid |
| author_facet | Reza Ameri Mohsen Amiri-Bideshki A. Borumand Saeid |
| author_sort | Reza Ameri |
| collection | DOAJ |
| description | The aime of this paper is the study of residual mappings and convexity in hyperlattices. To get this point, we study principal down set in hyperlattices and we give some conditions for a mapping between two hyperlattices to be equivalent with a residual maping. Also, we investigate convex subsets in ∧-hyperlattices. |
| first_indexed | 2024-04-13T11:32:12Z |
| format | Article |
| id | doaj.art-aed083533fe742bc955d023c87281980 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-13T11:32:12Z |
| publishDate | 2014-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-aed083533fe742bc955d023c872819802022-12-22T02:48:33ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142014-12-01271273610.23755/rm.v27i1.3035Some properties of residual mapping and convexity in ∧-hyperlatticesReza Ameri0Mohsen Amiri-Bideshki1A. Borumand Saeid2School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box 14155-6455, Teheran, IranDepartment of Mathematics, Payame-Noor University, Tehran, IranDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran,The aime of this paper is the study of residual mappings and convexity in hyperlattices. To get this point, we study principal down set in hyperlattices and we give some conditions for a mapping between two hyperlattices to be equivalent with a residual maping. Also, we investigate convex subsets in ∧-hyperlattices.http://eiris.it/ojs/index.php/ratiomathematica/article/view/30residuated map, convex, down-set, hyperideal, hy- perfilter |
| spellingShingle | Reza Ameri Mohsen Amiri-Bideshki A. Borumand Saeid Some properties of residual mapping and convexity in ∧-hyperlattices Ratio Mathematica residuated map, convex, down-set, hyperideal, hy- perfilter |
| title | Some properties of residual mapping and convexity in ∧-hyperlattices |
| title_full | Some properties of residual mapping and convexity in ∧-hyperlattices |
| title_fullStr | Some properties of residual mapping and convexity in ∧-hyperlattices |
| title_full_unstemmed | Some properties of residual mapping and convexity in ∧-hyperlattices |
| title_short | Some properties of residual mapping and convexity in ∧-hyperlattices |
| title_sort | some properties of residual mapping and convexity in ∧ hyperlattices |
| topic | residuated map, convex, down-set, hyperideal, hy- perfilter |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/30 |
| work_keys_str_mv | AT rezaameri somepropertiesofresidualmappingandconvexityinhyperlattices AT mohsenamiribideshki somepropertiesofresidualmappingandconvexityinhyperlattices AT aborumandsaeid somepropertiesofresidualmappingandconvexityinhyperlattices |