On Hyper Hoop-algebras
In this paper, we apply the hyper structure theory to hoop-algebras and introduce the notion of (quasi) hyper hoop-algebra which is a generalization of hoop-algebra and investigate some related properties. We also introduce the notion of (weak)filters on hyper hoop-algebras, and give several propert...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2016-06-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/14 |
| _version_ | 1818331300433494016 |
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| author | Rajabali Borzooei Hamidreza Varasteh Keivan Borna |
| author_facet | Rajabali Borzooei Hamidreza Varasteh Keivan Borna |
| author_sort | Rajabali Borzooei |
| collection | DOAJ |
| description | In this paper, we apply the hyper structure theory to hoop-algebras and introduce the notion of (quasi) hyper hoop-algebra which is a generalization of hoop-algebra and investigate some related properties. We also introduce
the notion of (weak)filters on hyper hoop-algebras, and give several properties of them. Finally, we characterize the (weak) filter generated by a non-empty subset of a hyper hoop-algebra. |
| first_indexed | 2024-12-13T13:17:39Z |
| format | Article |
| id | doaj.art-c5b7b4b8f72a4f8aba78c3200c8c2224 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-12-13T13:17:39Z |
| publishDate | 2016-06-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-c5b7b4b8f72a4f8aba78c3200c8c22242022-12-21T23:44:29ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142016-06-01301678110.23755/rm.v30i1.1410On Hyper Hoop-algebrasRajabali Borzooei0Hamidreza VarastehKeivan BornaDepartment of Mathematics, Shahid Beheshti University, Tehran, IranIn this paper, we apply the hyper structure theory to hoop-algebras and introduce the notion of (quasi) hyper hoop-algebra which is a generalization of hoop-algebra and investigate some related properties. We also introduce the notion of (weak)filters on hyper hoop-algebras, and give several properties of them. Finally, we characterize the (weak) filter generated by a non-empty subset of a hyper hoop-algebra.http://eiris.it/ojs/index.php/ratiomathematica/article/view/14Hoop-algebra, (quasi) hyper hoop-algebra, (weak) filter. |
| spellingShingle | Rajabali Borzooei Hamidreza Varasteh Keivan Borna On Hyper Hoop-algebras Ratio Mathematica Hoop-algebra, (quasi) hyper hoop-algebra, (weak) filter. |
| title | On Hyper Hoop-algebras |
| title_full | On Hyper Hoop-algebras |
| title_fullStr | On Hyper Hoop-algebras |
| title_full_unstemmed | On Hyper Hoop-algebras |
| title_short | On Hyper Hoop-algebras |
| title_sort | on hyper hoop algebras |
| topic | Hoop-algebra, (quasi) hyper hoop-algebra, (weak) filter. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/14 |
| work_keys_str_mv | AT rajabaliborzooei onhyperhoopalgebras AT hamidrezavarasteh onhyperhoopalgebras AT keivanborna onhyperhoopalgebras |