Some categorical aspects of BCH-algebras

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: Muhammad Anwar Chaudhry, Hafiz Fakhar-ud-din
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203007634
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spelling doaj-01e59a6d350741beb83e19aa632c83752020-11-24T21:11:45ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Anwar Chaudhry
Hafiz Fakhar-ud-din
spellingShingle Muhammad Anwar Chaudhry
Hafiz Fakhar-ud-din
Some categorical aspects of BCH-algebras
International Journal of Mathematics and Mathematical Sciences
author_facet Muhammad Anwar Chaudhry
Hafiz Fakhar-ud-din
author_sort Muhammad Anwar Chaudhry
title Some categorical aspects of BCH-algebras
title_short 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_sort some categorical aspects of bch-algebras
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
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.
url http://dx.doi.org/10.1155/S0161171203007634
work_keys_str_mv AT muhammadanwarchaudhry somecategoricalaspectsofbchalgebras
AT hafizfakharuddin somecategoricalaspectsofbchalgebras
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