Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The classical construction of tensor algebra is done in the context of MV-algebras.  construct the tensor PMV-algebra of an MV-algebra, which yields an adjunction beten 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.
['Ioana Leustean']
I am writing a research paper on a idea The Tensor PMV-algebra of an MV-algebra
[{"from": "human", "value": "I am writing a research paper on a idea The Tensor PMV-algebra of an MV-algebra"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The classical construction of tensor algebra is done in the context of MV-algebras.  construct the tensor PMV-algebra of an MV-algebra, which yields an adjunction beten 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."}]