On branchwise implicative BCI-algebras
We introduce a new class of BCI-algebras, namely the class of branchwise implicative BCI-algebras. This class contains the class of implicative BCK-algebras, the class of weakly implicative BCI-algebras (Chaudhry, 1990), and the class of medial BCI-algebras. We investigate necessary and sufficient...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202004970 |
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| _version_ | 1849435367966507008 |
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| author | Muhammad Anwar Chaudhry |
| author_facet | Muhammad Anwar Chaudhry |
| author_sort | Muhammad Anwar Chaudhry |
| collection | DOAJ |
| description | We introduce a new class of BCI-algebras, namely the class of
branchwise implicative BCI-algebras. This class contains the
class of implicative BCK-algebras, the class of weakly implicative
BCI-algebras (Chaudhry, 1990), and the class of medial BCI-algebras.
We investigate necessary and sufficient conditions for two types of BCI-algebras
to be branchwise implicative BCI-algebras. |
| format | Article |
| id | doaj-art-e5c36b1161f5477a9d3bb64f333573f5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e5c36b1161f5477a9d3bb64f333573f52025-08-20T03:26:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129741742510.1155/S0161171202004970On branchwise implicative BCI-algebrasMuhammad Anwar Chaudhry0Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaWe introduce a new class of BCI-algebras, namely the class of branchwise implicative BCI-algebras. This class contains the class of implicative BCK-algebras, the class of weakly implicative BCI-algebras (Chaudhry, 1990), and the class of medial BCI-algebras. We investigate necessary and sufficient conditions for two types of BCI-algebras to be branchwise implicative BCI-algebras.http://dx.doi.org/10.1155/S0161171202004970 |
| spellingShingle | Muhammad Anwar Chaudhry On branchwise implicative BCI-algebras International Journal of Mathematics and Mathematical Sciences |
| title | On branchwise implicative BCI-algebras |
| title_full | On branchwise implicative BCI-algebras |
| title_fullStr | On branchwise implicative BCI-algebras |
| title_full_unstemmed | On branchwise implicative BCI-algebras |
| title_short | On branchwise implicative BCI-algebras |
| title_sort | on branchwise implicative bci algebras |
| url | http://dx.doi.org/10.1155/S0161171202004970 |
| work_keys_str_mv | AT muhammadanwarchaudhry onbranchwiseimplicativebcialgebras |