On Supra-Additive and Supra-Multiplicative Maps

Let and be ordered algebras over , where has a generating positive cone and satisfies the property that if . We give some conditions for a map which is supra-additive and supra-multiplicative for all positive and negative elements to be linear and multipl

设$A$和$B$是域$F$上的有序代数，其中$A$有一个生成正锥且满足若$x,y\in A$且$x\leq y$则$y - x\in A^+$这一性质。我们给出一些条件，使得一个对所有正负元素都是超可加和超可乘的映射是线性和乘法的（最后一个单词“multipl”似乎不完整）。