Dominik Lachman

activity

20182020

collaborators

5 papers

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…

math.CO2019

Distance formulas in Bruhat-Tits building of $SL_{d} (Q_{p})$

Dominik Lachman

We study the distance on the Bruhat-Tits building of the group $SL_{d} (Q_{p})$ (and its other combinatorial properties). Coding its vertices by certain matrix represe…

math.NT2018

Universal Quadratic Forms and Indecomposables over Biquadratic Fields

Martin Čech, Dominik Lachman, Josef Svoboda +2

The aim of this article is to study (additively) indecomposable algebraic integers $O_{K}$ of biquadratic number fields $K$ and universal totally positive quadratic forms wi…

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

Distance formulas in Bruhat-Tits building of SLd​(Qp​)

Universal Quadratic Forms and Indecomposables over Biquadratic Fields

$n$ -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

Distance formulas in Bruhat-Tits building of $SL_{d} (Q_{p})$