Finite dimensionality in socle of Banach algebras.
Takahasi, Sin-Ei (1984)
International Journal of Mathematics and Mathematical Sciences
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Takahasi, Sin-Ei (1984)
International Journal of Mathematics and Mathematical Sciences
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Al-Moajil, Abdullah H. (1982)
International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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Extracta Mathematicae
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Sinclair and Tullo [6] proved that noetherian Banach algebras are finite-dimensional. In [3], Grabiner studied noetherian Banach modules. In this paper, we are concerned with alternative noetherian Banach algebras. Combining techniques from [3] with techniques and the result from [6], we prove that every alternative noetherian Banach algebra is finite-dimensional.
F. Oertel (1996)
Acta Universitatis Carolinae. Mathematica et Physica
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International Journal of Mathematics and Mathematical Sciences
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