序Jordan代数定义的循环序
Cyclic orders defined by ordered jordan algebras
摘要：
我们定义了一个一般概念的偏序约旦代数（在偏序环），我们表明，约旦几何与这样的约旦代数承认一个自然不变的部分循环顺序，其间隔是仿照对称锥的约旦代数。本文用区间的仿射像定义和描述了Jordan几何上的区间拓扑，并给出了推广经典对称锥和有界对称域理论主要特征的研究方案.
英文摘要：
We define a general notion of partially ordered Jordan algebra (over a partially ordered ring), and we show that the Jordan geometry associated to such a Jordan algebra admits a natural invariant partial cyclic order, whose intervals are modelled on the symmetric cone of the Jordan algebra. We define and describe, by affine images of intervals, the interval topology on the Jordan geometry, and we outline a reserch program aiming at generalizing main features of the theory of classical symmetric cones and bounded symmetric domains.
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