2019
DOI: 10.1007/s00012-019-0628-y
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Observables on lexicographic effect algebras

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Cited by 4 publications
(3 citation statements)
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“…This one-to-one correspondence between observables and spectral resolutions was extended for Rad-Dedekind σ-complete perfect MV-algebras in [DDL], however it is important to note that the notion of a spectral resolution was necessary to strengthen. This one-to-one relation was established also for k-perfect MV-algebras in [DvLa] and for general lexicographic MV-algebras and lexicographic effect algebras in [DvLa1,DvLa2].…”
Section: Introductionmentioning
confidence: 67%
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“…This one-to-one correspondence between observables and spectral resolutions was extended for Rad-Dedekind σ-complete perfect MV-algebras in [DDL], however it is important to note that the notion of a spectral resolution was necessary to strengthen. This one-to-one relation was established also for k-perfect MV-algebras in [DvLa] and for general lexicographic MV-algebras and lexicographic effect algebras in [DvLa1,DvLa2].…”
Section: Introductionmentioning
confidence: 67%
“…Moreover, the elements of the latter equation exist in M , they belong to M i , and they will play an important role by definition of an n-dimensional spectral resolution for lexicographic MV-algebras and lexicographic effect algebras. Moreover, as it was shown in [DDL,DvLa1], if n = 1, then there are spectral resolutions which do not correspond to any observable with for which (4.3) does not exist in M .…”
Section: Characteristic Pointsmentioning
confidence: 84%
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