Abstract
It is shown that every minimal prime ideal of the Chinese algebra of any finite rank is generated by a finite set of homogeneous elements of degree 2 or 3. A constructive way of producing minimal generating sets of all such ideals is found. As a consequence, it is shown that the Jacobson radical of the Chinese algebra is nilpotent. Moreover, the radical is not finitely generated if the rank of the algebra exceeds 2.
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Work supported in part by grants of DGI MICIIN (Spain) MTM2011-28992-C02-01, Generalitat de Catalunya 2009 SGR 1389 and by a MNiSW research grant N201 420539 (Poland).
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Cedó, F., Okniński, J. Minimal Spectrum and the Radical of Chinese Algebras. Algebr Represent Theor 16, 905–930 (2013). https://doi.org/10.1007/s10468-012-9339-1
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DOI: https://doi.org/10.1007/s10468-012-9339-1