Minimal Spectrum and the Radical of Chinese Algebras

作者：Cedo Ferran^*; Okninski Jan

来源：Algebras and Representation Theory, 2013, 16(4): 905-930.

DOI：10.1007/s10468-012-9339-1

• Semigroup ring
• Finitely presented
• Chinese algebra
• Jacobson radical
• Minimal prime ideal
• Nilpotent radical

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.

• 出版日期2013-8