Generalization of quantum logics and sets with relative inverses by equational characterization for partial algebras

Rok, strany: 1997, 141 - 146

The problem of equational characterization of two varieties of sets with relative inverses is partially solved. The complete description for generalized Boolean algebras (every interval of a poset with 0-element is a Boolean algebra) is given and the Stone-type of representation theorem is proved. The partial description for generalized orthomodular posets (every interval is an orthomodular poset) is given and some results for set-representability of orthomodular posets are considered. The sufficient condition for atomistic orthomodular posets is formulated.

ISO 690:

Konôpka, P. 1997. Generalization of quantum logics and sets with relative inverses by equational characterization for partial algebras. In Tatra Mountains Mathematical Publications, vol. 10, no.1, pp. 141-146. 1210-3195.

APA:

Konôpka, P. (1997). Generalization of quantum logics and sets with relative inverses by equational characterization for partial algebras. Tatra Mountains Mathematical Publications, 10(1), 141-146. 1210-3195.