Negation and BCK-algebras

نویسندگان

  • Francisco M. García Olmedo
  • Antonio J. Rodríguez Salas
چکیده

In this paper we consider twelve classical laws of negation and study their relations in the context of BCKalgebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK-algebras with minimum. As a consequence we obtain a theorem relating those algebras to Boolean algebras.

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عنوان ژورنال:
  • Math. Log. Q.

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2003