Extensions of radical operations to fractional ideals.
Benhissi, Ali (2005)
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Benhissi, Ali (2005)
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The weak radical, W-Rad(A) of a non-associative algebra A, has been introduced by A. Rodríguez Palacios in [3] in order to generalize the Johnson's uniqueness of norm theorem to general complete normed non-associative algebras (see also [2] for another application of this notion). In [4], he showed that if A is a semiprime non-associative algebra with DCC on ideals, then W-Rad(A) = 0. In the first part of this paper we give an example of a non-semiprime associative algebra A with DCC...
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Rendiconti del Seminario Matematico della Università di Padova
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