Dominik Lachman

activity

20182020

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math.FA2020

$n$ -dimensional Observables on $k$ -Perfect MV-Algebras and $k$ -Perfect Effect Algebras. II. One-to-one Correspondence

Anatolij Dvurečenskij, Dominik Lachman

The paper is a continuation of the research on a one-to-one correspondence between $n$ -dimensional spectral resolutions and $n$ -dimensional observables on lexicographic types of qu…

math.FA2020

$n$ -dimensional Observables on $k$ -Perfect MV-Algebras and $k$ -Perfect Effect Algebras. I. Characteristic Points

Anatolij Dvurečenskij, Dominik Lachman

In the paper, we investigate a one-to-one correspondence between $n$ -dimensional observables and $n$ -dimensional spectral resolutions with values in a kind of a lexicographic form…

math.AC2020

Lifting, $n$ -Dimensional Spectral Resolutions, and $n$ -Dimensional Observables

Anatolij Dvurečenskij, Dominik Lachman

We show that under some natural conditions, we are able to lift an $n$ -dimensional spectral resolution from one monotone $σ$ -complete unital po-group into another one, when the fir…

n-dimensional Observables on k-Perfect MV-Algebras and k-Perfect Effect Algebras. II. One-to-one Correspondence

n-dimensional Observables on k-Perfect MV-Algebras and k-Perfect Effect Algebras. I. Characteristic Points

Lifting, n-Dimensional Spectral Resolutions, and n-Dimensional Observables

$n$ -dimensional Observables on $k$ -Perfect MV-Algebras and $k$ -Perfect Effect Algebras. II. One-to-one Correspondence

$n$ -dimensional Observables on $k$ -Perfect MV-Algebras and $k$ -Perfect Effect Algebras. I. Characteristic Points

Lifting, $n$ -Dimensional Spectral Resolutions, and $n$ -Dimensional Observables