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Categories of semigroups in quantum computational structures
Authors:Hector Freytes  Antonio Ledda
Affiliation:(1) CONICET — Instituto Argentino de Matematica (IAM), Saavedra 15 - 3er Piso, 1083 Buenos Aires, Argentina;(2) Department of Education, University of Cagliari, Via Is Mirrionis 1, I-09123 Cagliari, Italy
Abstract:
We investigate a categorial duality between quasi MV-algebras (a variety of algebras arising from quantum computation and tightly connected with fuzzy logic) and a reflective subcategory of l-groups with strong units.
Keywords:quasi MV-algebras  MV-algebras  l-groups  semigroups
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