Open AccessJewell-Sinclair theorem and the automatic continuity of a derivation
Author(s) -
Amir A. Mohammed,
Yassin Abdulljabar,
Nadia A. Abdulraziq
Publication year - 2010
Publication title -
mağallaẗ al-tarbiyaẗ wa-al-ʻilm
Language(s) - English
Resource type - Journals
eISSN - 2664-2530
pISSN - 1812-125X
DOI - 10.33899/edusj.2010.58396
Subject(s) - annihilator , associative property , mathematics , zero (linguistics) , algebra over a field , pure mathematics , derivation , calculus (dental) , discrete mathematics , philosophy , medicine , linguistics , surgery , artery , dentistry
Villena's theorem ensure the automatic continuity of a derivation on a non-associative H*-algebra with zero annihilator. In this paper, we formulate the Jewell-Sinclair theorem in a non-associative content, and we show that the Villena's theorem may be also followed from our formulation of such theorem.
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