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Sequential convergences on pseudo $MV$-algebras

In: Mathematica Slovaca, vol. 56, no. 5
Ján Jakubík
Detaily:
Rok, strany: 2006, 501 - 510
O článku:
According to a result of Dvurečenskij, each pseudo $MV$-algebra $A$ can be represented as an interval of a unital lattice ordered group $G$. We denote by $Conv A$ and $Conv G$ the system of all sequential convergences on $A$ and on $G$, respectively. Both $Conv A$ and $Conv G$ are partially ordered in a natural way. We prove that $Conv A$ is isomorphic to a subsystem $Convb G$ of $Conv G$. The system $Conv A$ is isomorphic to $Conv G$ if each orthogonal subset of $A$ is finite.
Ako citovať:
ISO 690:
Jakubík, J. 2006. Sequential convergences on pseudo $MV$-algebras. In Mathematica Slovaca, vol. 56, no.5, pp. 501-510. 0139-9918.

APA:
Jakubík, J. (2006). Sequential convergences on pseudo $MV$-algebras. Mathematica Slovaca, 56(5), 501-510. 0139-9918.