mv -代数的张量pmv -代数

2011 41st IEEE International Symposium on Multiple-Valued Logic Pub Date : 2011-05-23 DOI:10.1109/ISMVL.2011.37

I. Leustean

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引用次数: 4

摘要

张量代数的经典构造是在mv代数的背景下完成的。构造了一个mv -代数的张量pmv -代数，得到了mv -代数的范畴与pmv -代数的范畴之间的一个附加。特别地，对于任意的mv -代数A, A的张量pmv -代数是A上的自由pmv -代数。

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The Tensor PMV-algebra of an MV-algebra

The classical construction of tensor algebra is done in the context of MV-algebras. We construct the tensor PMV-algebra of an MV-algebra, which yields an adjunction between the category of MV-algebras and the category of PMV-algebras. In particular, for any MV-algebra A, the tensor PMV-algebra of A is the free PMV-algebra over A.

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来源期刊

2011 41st IEEE International Symposium on Multiple-Valued Logic

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