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math.RA2022
Morita equivalence and globalization for partial Hopf actions on nonunital algebras
Marcelo Muniz Alves, Tiago Luiz Ferrazza
In this work we investigate partial actions of a Hopf algebra H on nonunital algebras and the associated partial smash products. We show that our partial actions correspond to nonu…
math.QA2022
Quantum Inverse Semigroups
Marcelo Muniz Alves, Eliezer Batista, Francielle Kuerten Boeing
In this work, the notion of a quantum inverse semigroup is introduced as a linearized generalization of inverse semigroups. Beyond the algebra of an inverse semigroup, which is the…