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. © 2012 Springer Science+Business Media B.V.
Original language | English |
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Pages (from-to) | 905-930 |
Journal | Algebras and Representation Theory |
Volume | 16 |
DOIs | |
Publication status | Published - 1 Aug 2013 |
Keywords
- Chinese algebra
- Finitely presented
- Jacobson radical
- Minimal prime ideal
- Nilpotent radical
- Semigroup ring