伪自由积逻辑的自同构群
The automorphism group of falsum-free product logic
摘要：
关于n-1生成元上的自由MV-代数的自同构群，有一些是已知的，许多是未知的。在本文中，我们表明，这个群体出现的稳定1的所有自同构的更大的群的自由cancellative箍在n个生成元。这两个群在同一个空间上有对偶作用，即（n-1）维立方体。较大的群具有更丰富的动力学，代价是失去了McNaughton同胚的两个关键特征：有理点的扩张子的保持和勒贝格测度的保持。我们在这里提出一些基本结果，一些例子，和一些问题。
英文摘要：
A few things are known, and many are unknown, on the automorphism group of the free MV-algebra over n-1 generators. In this paper we show that this group appears as the stabilizer of 1 in the larger group of all automorphisms of the free cancellative hoop over n generators. Both groups have a dual action on the same space, namely the (n-1)-dimensional cube. The larger group has a richer dynamics, at the expense of loosing the two key features of the McNaughton homeomorphisms: preservation of denominators of rational points, and preservation of the Lebesgue measure. We present here some basic results, some examples, and some problems.
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