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- W2951972599 abstract "In this paper, we extend the notions of states and measures presented in cite{DvPu} to the case of pseudo-BCK algebras and study similar properties. We prove that, under some conditions, the notion of a state in the sense of cite{DvPu} coincides with the Bosbach state, and we extend to the case of pseudo-BCK algebras some results proved by J. Kuhr only for pseudo-BCK semilattices. We characterize extremal states, and show that the quotient pseudo-BCK algebra over the kernel of a measure can be embedded into the negative cone of an archimedean $ell$-group. Additionally, we introduce a Borel state and using results by J. Kuhr and D. Mundici from cite{Kumu}, we prove a relationship between de Finetti maps, Bosbach states and Borel states." @default.
- W2951972599 created "2019-06-27" @default.
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- W2951972599 date "2009-05-29" @default.
- W2951972599 modified "2023-09-23" @default.
- W2951972599 title "Measures, states and de Finetti maps on pseudo-BCK algebras" @default.
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