n-生成交换半域的恒等式
Idempotence of finitely generated commutative semifields
摘要：
我们证明了交换仿半域S是加法幂等的，只要它是半环的双生成的。因此，每一个真交换半域T，如果它是一个半环，那么它要么是加法常数，要么是加法幂等的。作为证明的一部分，我们使用的分类？生成的格-序群，证明了一定的么半群与parasemifield S有一个杰出的几何性质称为棱镜。
英文摘要：
We prove that a commutative parasemifield S is additively idempotent provided that it is finitely generated as a semiring. Consequently, every proper commutative semifield T that is finitely generated as a semiring is either additively constant or additively idempotent. As part of the proof, we use the classification of finitely generated lattice-ordered groups to prove that a certain monoid associated to the parasemifield S has a distinguished geometrical property called prismality.
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