Fuzzy congruences on groups and rings
We prove that the lattice of fuzzy congruences of a group G (resp. ring R) is isomorphic to the lattice of fuzzy normal subgroups of G (resp. fuzzy ideals of R).
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1994-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000682 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560865869561856 |
|---|---|
| author | Marouf A. Samhan T. M. G. Ahsanullah |
| author_facet | Marouf A. Samhan T. M. G. Ahsanullah |
| author_sort | Marouf A. Samhan |
| collection | DOAJ |
| description | We prove that the lattice of fuzzy congruences of a group G (resp. ring R) is isomorphic to the lattice of fuzzy normal subgroups of G (resp. fuzzy ideals of R). |
| format | Article |
| id | doaj-art-4d37c14d98c14d609ddb411515b7ac7e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4d37c14d98c14d609ddb411515b7ac7e2025-02-03T01:26:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117346947310.1155/S0161171294000682Fuzzy congruences on groups and ringsMarouf A. Samhan0T. M. G. Ahsanullah1Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe prove that the lattice of fuzzy congruences of a group G (resp. ring R) is isomorphic to the lattice of fuzzy normal subgroups of G (resp. fuzzy ideals of R).http://dx.doi.org/10.1155/S0161171294000682latticegroupsringsfuzzy congruencesfuzzy normal subgroupfuzzy idealsisomorphism. |
| spellingShingle | Marouf A. Samhan T. M. G. Ahsanullah Fuzzy congruences on groups and rings International Journal of Mathematics and Mathematical Sciences lattice groups rings fuzzy congruences fuzzy normal subgroup fuzzy ideals isomorphism. |
| title | Fuzzy congruences on groups and rings |
| title_full | Fuzzy congruences on groups and rings |
| title_fullStr | Fuzzy congruences on groups and rings |
| title_full_unstemmed | Fuzzy congruences on groups and rings |
| title_short | Fuzzy congruences on groups and rings |
| title_sort | fuzzy congruences on groups and rings |
| topic | lattice groups rings fuzzy congruences fuzzy normal subgroup fuzzy ideals isomorphism. |
| url | http://dx.doi.org/10.1155/S0161171294000682 |
| work_keys_str_mv | AT maroufasamhan fuzzycongruencesongroupsandrings AT tmgahsanullah fuzzycongruencesongroupsandrings |