Topological Homomorphisms in a Topological Dual B-Algebra
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6178Keywords:
topological dual B-algebra, quotient dual B-topology, topological dual B-homomorphism, topological dual B-isomorphismAbstract
This paper introduced the topological dual B-homomorphism in a topological dual B-algebras and its example. Moreover, this paper also presented a Python program to check the homomorphism condition of the topological dual B-homomoprphism. Furthermore, the topology for the quotient dual B-algebra was presented using the natural dual B-homomorphism. This
quotient dual B-topological space was proven to be a topological dual B-algebra. Consequently, properties of a topological homomorphism were determined. The topological dual B-isomorphisms among topological dual B-algebras was also introduced and some results were obtained.
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Copyright (c) 2025 Rashin Nuñez, Katrina Belleza Fuentes, Ph.D.
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