Chinese Algebras of Rank 3 |
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Authors: | Joanna Jaszuńska |
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Institution: | Institute of Mathematics, Polish Academy of Sciences , Warsaw, Poland |
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Abstract: | The structure of the algebra KM] of the Chinese monoid M of rank 3 over a field K is studied. The minimal prime ideals are described and the classical Krull dimension is computed. It follows that every minimal prime ideal is determined by a homogeneous congruence on M. Moreover, the prime radical is nilpotent and equal to the Jacobson radical. This ideal is not determined by a congruence on M. |
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Keywords: | Chinese monoid Prime ideal Prime radical Semigroup algebra |
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