Bl-algebras and Quantum Structures

@inproceedings{Vetterlein2005BlalgebrasAQ,
  title={Bl-algebras and Quantum Structures},
  author={Thomas Vetterlein},
  year={2005}
}
Endowing a lower-bounded partially ordered set with a total addition or with a total difference operation leads to the basic notion of a NAM, that is, a naturally ordered abelian monoid, or a BCK-algebra, respectively. BL-algebras may be alteratively viewed as certain NAMs or certain BCK-algebras. We characterize the appropriate subclasses by making use of those properties which have been so far considered in an apparently rather different context, namely for certain quantum structures. The… CONTINUE READING

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