On homomorphisms from Cn to Cm
DOI:
https://doi.org/10.23755/rm.v39i0.562Keywords:
homomorphism, continuous function, Hamel basis,Abstract
In this paper, using elementary algebra and analysis, we characterize and compute all continuous homomorphism from Cn to Cm. Also we prove that the cardinality of the set of all non-continous group homomorphism from Cn to Cm is at least the cardinality of the continuum.
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