13 citations · 75 across the 36 of their papers we have counts for
42 papers
Some results on pseudo MV-algebras with square roots
Anatolij Dvurečenskij, Omid Zahiri
The paper provides a study of pseudo MV-algebras with square roots. We introduce different notions of a square root on a pseudo MV-algebra, and present their main properties. We sh…
On EMV-algebras with square roots
Anatolij Dvurečenskij, Omid Zahiri
A square root is a unary operation with some special properties. In the paper, we introduce and study square roots on EMV-algebras. First, the known properties of square roots defi…
-dimensional Observables on -Perfect MV-Algebras and -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 -dimensional spectral resolutions and -dimensional observables on lexicographic types of qu…
-dimensional Observables on -Perfect MV-Algebras and -Perfect Effect Algebras. I. Characteristic Points
Anatolij Dvurečenskij, Dominik Lachman
In the paper, we investigate a one-to-one correspondence between -dimensional observables and -dimensional spectral resolutions with values in a kind of a lexicographic form…
Lifting, -Dimensional Spectral Resolutions, and -Dimensional Observables
Anatolij Dvurečenskij, Dominik Lachman
We show that under some natural conditions, we are able to lift an -dimensional spectral resolution from one monotone -complete unital po-group into another one, when the fir…
A Variety Containing EMV-Algebras and Pierce Sheaves
Anatolij Dvurečenskij, Omid Zahiri
According to \cite{Dvz}, we know that the class of all EMV-algebras, , is not a variety, since it is not closed under the subalgebra operator. The main aim of this wo…