论文标题
Riesz空间中的格子同态
On lattice homomorphisms in Riesz spaces
论文作者
论文摘要
在本文中,我们研究了Riesz空间中格子和Riesz同态的共同关系。在某种情况下,我们证明Riesz空间上的任何晶格同态都是Riesz的同态。这符合Mena和Roth [7],Thanh [9],Lochan和Strauss [5]以及Ercan和Wickstead [2]的结果类型。
In this paper, we study the connextion between lattice and Riesz homomorphisms in Riesz spaces. We prove, under a certain condition, that any lattice homomorphism on Riesz space is a Riesz homomorphism. This fits in the type of results by Mena and Roth [7], thanh [9], Lochan and Strauss [5] and Ercan and Wickstead [2].