Some categorical aspects of BCH-algebras
We show that the category BCH of BCH-algebras and BCH-homomorphisms is complete. We also show that it has coequalizers, kernel pairs, and an image factorization system. It is also proved that onto homomorphisms and coequalizers, and monomorphisms and one-to-one homomorphisms coincide, respectively,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203007634 |
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| _version_ | 1832560460334891008 |
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| author | Muhammad Anwar Chaudhry Hafiz Fakhar-ud-din |
| author_facet | Muhammad Anwar Chaudhry Hafiz Fakhar-ud-din |
| author_sort | Muhammad Anwar Chaudhry |
| collection | DOAJ |
| description | We show that the category BCH of BCH-algebras and
BCH-homomorphisms is complete. We also show that it has
coequalizers, kernel pairs, and an image factorization system. It
is also proved that onto homomorphisms and coequalizers, and
monomorphisms and one-to-one homomorphisms coincide,
respectively, in BCH. It is shown that MBCI is a coreflexive
subcategory of BCH. Regular homomorphisms have been defined and
their properties are studied. An open problem has been posed. |
| format | Article |
| id | doaj-art-01e59a6d350741beb83e19aa632c8375 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-01e59a6d350741beb83e19aa632c83752025-02-03T01:27:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003271739175010.1155/S0161171203007634Some categorical aspects of BCH-algebrasMuhammad Anwar Chaudhry0Hafiz Fakhar-ud-din1Department of Mathematical Sciences, College of Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, Islamia University, Bahawalpur, PakistanWe show that the category BCH of BCH-algebras and BCH-homomorphisms is complete. We also show that it has coequalizers, kernel pairs, and an image factorization system. It is also proved that onto homomorphisms and coequalizers, and monomorphisms and one-to-one homomorphisms coincide, respectively, in BCH. It is shown that MBCI is a coreflexive subcategory of BCH. Regular homomorphisms have been defined and their properties are studied. An open problem has been posed.http://dx.doi.org/10.1155/S0161171203007634 |
| spellingShingle | Muhammad Anwar Chaudhry Hafiz Fakhar-ud-din Some categorical aspects of BCH-algebras International Journal of Mathematics and Mathematical Sciences |
| title | Some categorical aspects of BCH-algebras |
| title_full | Some categorical aspects of BCH-algebras |
| title_fullStr | Some categorical aspects of BCH-algebras |
| title_full_unstemmed | Some categorical aspects of BCH-algebras |
| title_short | Some categorical aspects of BCH-algebras |
| title_sort | some categorical aspects of bch algebras |
| url | http://dx.doi.org/10.1155/S0161171203007634 |
| work_keys_str_mv | AT muhammadanwarchaudhry somecategoricalaspectsofbchalgebras AT hafizfakharuddin somecategoricalaspectsofbchalgebras |