Zobrazeno 1 - 10
of 1 260
pro vyhledávání: '"DVUREČENSKIJ, A."'
Autor:
Dvurečenskij, Anatolij, Zahiri, Omid
In \cite{DvZa3}, we started the investigation of pseudo MV-algebras with square roots. In the present paper, the main aim is to continue to study the structure of pseudo MV-algebras with square roots focusing on their new characterizations. The paper
Externí odkaz:
http://arxiv.org/abs/2306.06114
Autor:
Dvurečenskij, Anatolij, Zahiri, Omid
In \cite{DvZa3}, we started the investigation of pseudo MV-algebras with square roots. In the present paper, we continue to study the structure of pseudo MV-algebras with square roots focusing on their new characterizations. The paper is divided into
Externí odkaz:
http://arxiv.org/abs/2306.04623
Autor:
Dvurečenskij, Anatolij, Zahiri, Omid
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 show that the class of pseudo-MV-algebras with square roots is a proper
Externí odkaz:
http://arxiv.org/abs/2210.09350
Autor:
Dvurečenskij, Anatolij, Zahiri, Omid
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 defined on MV-algebras will be generalized for EMV-algebras, and we also f
Externí odkaz:
http://arxiv.org/abs/2210.00862
Publikováno v:
In Fuzzy Sets and Systems 15 May 2024 484
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 quantum structures which started in \cite{DvLa4}. In Part I, we presente
Externí odkaz:
http://arxiv.org/abs/2011.05882
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 of quantum structures like perfect MV-algebras or perfect effect algeb
Externí odkaz:
http://arxiv.org/abs/2011.01133
We show that under some natural conditions, we are able to lift an $n$-dimensional spectral resolution from one monotone $\sigma$-complete unital po-group into another one, when the first one is a $\sigma$-homomorphic image of the second one. We note
Externí odkaz:
http://arxiv.org/abs/2002.08280
Autor:
Dvurečenskij, Anatolij, Zahiri, Omid
According to \cite{Dvz}, we know that the class of all EMV-algebras, $\mathsf{EMV}$, is not a variety, since it is not closed under the subalgebra operator. The main aim of this work is to find the least variety containing $\mathsf{EMV}$. For this re
Externí odkaz:
http://arxiv.org/abs/1911.06625
Autor:
Dvurečenskij, Anatolij, Zahiri, Omid
Publikováno v:
In Fuzzy Sets and Systems 15 August 2023 465