In this paper we continue our investigation of generalized power series. The main theorem determines rings of generalized power series which are Von Neumann regular rings and semisimple rings. In the final section we give a new proof of Neumann's theorem on skewfields of generalized power series with totally ordered group of exponents. Using a result of Erdos and Rado, we deduce a simple proof of a theorem in [1], which is proven here also for skewfields. It is my pleasure to thank C. U. Jensen and K. R. Goodearl for useful comments while this paper was in preparation. [References: 9]
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机译：在本文中，我们继续研究广义幂级数。主定理确定广义幂级数环，它们是冯·诺依曼正则环和半简单环。在最后一节中，我们给出了具有幂阶全指数的广义幂级数偏场的Neumann定理的新证明。利用Erdos和Rado的结果，我们在[1]中推导了一个简单的定理证明，这在偏场中也得到了证明。我很高兴感谢C. U. Jensen和K. R. Goodearl在本文准备过程中提出的有益意见。 [参考：9]
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