When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。
In this paper using the concept of the main middle ideal gives a condition of the soft algebra as a direct product of chains.
还给出了为有限个主理想的并的交换序半群类中的诺特性，阿基米德性，正则性以及有限生成性之间的一些关系。
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