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A representation of weak effect algebras

In: Mathematica Slovaca, vol. 62, no. 4
Ivan Chajda
Detaily:
Rok, strany: 2012, 611 - 620
Kľúčové slová:
weak effect algebra, weak basic algebra, directoid, antitone involution
O článku:
Weak effect algebras were introduced by the author as a generalization of effect algebras and pseudoeffect algebras. It was shown that having a basic algebra, we can restrict its binary operation to orthogonal elements only and what we get is just a weak effect algebra. However, the converse construction is impossible due to the fact that the underlying poset of a basic algebra is a lattice which need not be true for weak effect algebras. Hence, we found a weaker structure than a basic algebra which can serve as a representation of a weak effect algebra.
Ako citovať:
ISO 690:
Chajda, I. 2012. A representation of weak effect algebras. In Mathematica Slovaca, vol. 62, no.4, pp. 611-620. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0034-9

APA:
Chajda, I. (2012). A representation of weak effect algebras. Mathematica Slovaca, 62(4), 611-620. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0034-9
O vydaní: