Jordan Cubes and Associative Powers
We study the
relations between the powers of an associative algebra and the ideal generated
by its Jordan cube. As a consequence, we describe the heart of an associative
algebra for which every local algebra is simple in terms of associative powers,
answering a question posed in [J. Algebra 240 (2001), 680-704]. We also provide examples
which show that the results obtained are optimal.
The second file ``njcubes.dvi'', uploaded 15 Oct 2002, is a revised and more concise version of
``jcubes.dvi''. It has been accepted for publication in the J. Pure Applied Algebra.
J. A. Anquela < anque@pinon.ccu.uniovi.es >
T. Cortes < cortes@pinon.ccu.uniovi.es >