L-Fuzzy Prime Spectrums of ADLs
The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings. In this paper, the set of all L-fuzzy prime ideals of an ADL with truth values in a complete lattice L satisfying the infin...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2021/5520736 |
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| author | Natnael Teshale Amare Srikanya Gonnabhaktula Ch. Santhi Sundar Raj |
| author_facet | Natnael Teshale Amare Srikanya Gonnabhaktula Ch. Santhi Sundar Raj |
| author_sort | Natnael Teshale Amare |
| collection | DOAJ |
| description | The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings. In this paper, the set of all L-fuzzy prime ideals of an ADL with truth values in a complete lattice L satisfying the infinite meet distributive law is topologized and the resulting space is discussed. |
| format | Article |
| id | doaj-art-cd294233898b48fd93e9ab3563c45eee |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-cd294233898b48fd93e9ab3563c45eee2025-02-03T06:12:52ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2021-01-01202110.1155/2021/55207365520736L-Fuzzy Prime Spectrums of ADLsNatnael Teshale Amare0Srikanya Gonnabhaktula1Ch. Santhi Sundar Raj2Department of Mathematics, College of NCS, University of Gondar, Gondar, EthiopiaDepartment of Engineering Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, IndiaDepartment of Engineering Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, IndiaThe notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings. In this paper, the set of all L-fuzzy prime ideals of an ADL with truth values in a complete lattice L satisfying the infinite meet distributive law is topologized and the resulting space is discussed.http://dx.doi.org/10.1155/2021/5520736 |
| spellingShingle | Natnael Teshale Amare Srikanya Gonnabhaktula Ch. Santhi Sundar Raj L-Fuzzy Prime Spectrums of ADLs Advances in Fuzzy Systems |
| title | L-Fuzzy Prime Spectrums of ADLs |
| title_full | L-Fuzzy Prime Spectrums of ADLs |
| title_fullStr | L-Fuzzy Prime Spectrums of ADLs |
| title_full_unstemmed | L-Fuzzy Prime Spectrums of ADLs |
| title_short | L-Fuzzy Prime Spectrums of ADLs |
| title_sort | l fuzzy prime spectrums of adls |
| url | http://dx.doi.org/10.1155/2021/5520736 |
| work_keys_str_mv | AT natnaelteshaleamare lfuzzyprimespectrumsofadls AT srikanyagonnabhaktula lfuzzyprimespectrumsofadls AT chsanthisundarraj lfuzzyprimespectrumsofadls |