Title of article
A survey on unsharp orthomodular lattices: A unifying framework
Author/Authors
Ledda ، A. Universit`a di Cagliari , Vergottini ، G. Universit`a di Cagliari
From page
19
To page
33
Abstract
In this survey we consider the variety of unsharp orthomodular lattices. We will see that there are pretty smooth conditions that neatly generalize a great deal of the theory of orthomodular lattices. In particular, we will characterize the concept of block in this framework towards an appropriate notion of commutativity. Then, we capitalize on this fact and describe a categorical equivalence between orthomodular lattices, with fixed p-filters, and the variety of unsharp orthomodular lattices.
Keywords
Boolean algebras , Stone algebras , Kleene algebras , MV algebras , orthomodular lattices , p , filter , categorical equivalence , non , classical logic , sharp element , dense element , pseudo , complementation , Regularity
Journal title
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title
Journal of Algebraic Hyperstructures and Logical Algebras
Record number
2778552
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