The automatic continuity for particular type of homomorphism nonassociative algebras
Abstract<br /> Rodriguez conjecture ensures the automatic continuity of a dense range homomorphism from a complete normed nonassociative algebra into another one with zero strong radical. Rodriguez conjecture still unsolved. But there is an affirmative answer of Rodriguez conjecture presented...
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| Format: | Book |
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College of Education for Pure Sciences,
2008-09-01T00:00:00Z.
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| Summary: | Abstract<br /> Rodriguez conjecture ensures the automatic continuity of a dense range homomorphism from a complete normed nonassociative algebra into another one with zero strong radical. Rodriguez conjecture still unsolved. But there is an affirmative answer of Rodriguez conjecture presented by Rodriguez himself in [7] for particular type of nonassociative algebras called power-associative algebra. Also the authors in [11] gived an approximate solution of Rodriguez conjecture by putting a condition on multiplication algebra of a domain of such homomorphism. In this work, we give another partial solution of Rodriguez conjecture as follows:<br /> If A and B are complete normed nonassociative algebras and if is a dense range homomorphism from A into B such that B simple with identity and multiplication algebra of B is also simple. Then is continuous. |
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| Item Description: | 1812-125X 2664-2530 10.33899/edusj.2008.56038 |