On BRK-Algebras
The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of 𝐺-part, 𝑝-radical, medial of a BRK-algebra are introduced and studied their properties. We proved that the variety of all medial BRK-algebras is congruence permutable and showed that ev...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/952654 |
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| _version_ | 1832545394935988224 |
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| author | Ravi Kumar Bandaru |
| author_facet | Ravi Kumar Bandaru |
| author_sort | Ravi Kumar Bandaru |
| collection | DOAJ |
| description | The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of 𝐺-part, 𝑝-radical, medial of a BRK-algebra are introduced and studied their properties. We proved that the variety of all medial BRK-algebras is congruence permutable and showed that every associative BRK-algebra is a group. |
| format | Article |
| id | doaj-art-b8d6d3834ccf4b6abec86ebcbbb110c6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b8d6d3834ccf4b6abec86ebcbbb110c62025-02-03T07:25:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/952654952654On BRK-AlgebrasRavi Kumar Bandaru0Department of Engineering Mathematics, GITAM University, Hyderabad Campus, Medak District, Andhra Pradesh 502 329, IndiaThe notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of 𝐺-part, 𝑝-radical, medial of a BRK-algebra are introduced and studied their properties. We proved that the variety of all medial BRK-algebras is congruence permutable and showed that every associative BRK-algebra is a group.http://dx.doi.org/10.1155/2012/952654 |
| spellingShingle | Ravi Kumar Bandaru On BRK-Algebras International Journal of Mathematics and Mathematical Sciences |
| title | On BRK-Algebras |
| title_full | On BRK-Algebras |
| title_fullStr | On BRK-Algebras |
| title_full_unstemmed | On BRK-Algebras |
| title_short | On BRK-Algebras |
| title_sort | on brk algebras |
| url | http://dx.doi.org/10.1155/2012/952654 |
| work_keys_str_mv | AT ravikumarbandaru onbrkalgebras |