Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset
We use a translational invariant fuzzy subset 𝑝 of a ring 𝑅 to define two new types of commutative rings namely, 𝑝-presimplifiable and 𝑝-associate rings. We present some results of these rings. The interest of these results is that most of them are mirrors of corresponding results of presimplifiable...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2010/258947 |
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| author | Manal Ghanem |
| author_facet | Manal Ghanem |
| author_sort | Manal Ghanem |
| collection | DOAJ |
| description | We use a translational invariant fuzzy subset 𝑝 of a ring 𝑅 to define two new types of commutative rings namely, 𝑝-presimplifiable and 𝑝-associate rings. We present some results of these rings. The interest of these results is that most of them are mirrors of corresponding results of presimplifiable and associate rings in classical ring theory. |
| format | Article |
| id | doaj-art-18f690bc4e614308b99922b3e48ccbce |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-18f690bc4e614308b99922b3e48ccbce2025-02-03T05:46:57ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2010-01-01201010.1155/2010/258947258947Two New Types of Rings Defined by Using a Translational Invariant Fuzzy SubsetManal Ghanem0Department of Mathematics, Irbid National University, P.O. Box 2600, Irbid 21110, JordanWe use a translational invariant fuzzy subset 𝑝 of a ring 𝑅 to define two new types of commutative rings namely, 𝑝-presimplifiable and 𝑝-associate rings. We present some results of these rings. The interest of these results is that most of them are mirrors of corresponding results of presimplifiable and associate rings in classical ring theory.http://dx.doi.org/10.1155/2010/258947 |
| spellingShingle | Manal Ghanem Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset Advances in Fuzzy Systems |
| title | Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset |
| title_full | Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset |
| title_fullStr | Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset |
| title_full_unstemmed | Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset |
| title_short | Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset |
| title_sort | two new types of rings defined by using a translational invariant fuzzy subset |
| url | http://dx.doi.org/10.1155/2010/258947 |
| work_keys_str_mv | AT manalghanem twonewtypesofringsdefinedbyusingatranslationalinvariantfuzzysubset |