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Representation and Embedding of Pseudo MV-algebras with Square Roots II. Closures
Anatolij Dvurečenskij, Omid Zahiri
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-algebra…
Representation and Embedding of Pseudo MV-algebras with Square Roots I. Strict Square Roots
Anatolij Dvurečenskij, Omid Zahiri
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 ro…
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…
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…
When Lexicographic Product of Two po-Groups has the Riesz Decomposition Property
Anatolij Dvurečenskij, Omid Zahiri
We study conditions when a certain type of the Riesz Decomposition Property (RDP for short) holds in the lexicographic product of two po-groups. Defining two important properties o…
Orthocomplete Pseudo MV-algebras
Anatolij Dvurečenskij, Omid Zahiri
Pseudo -algebras are a non-commutative generalization of -algebras. The main purpose of the paper is to introduce and investigate orthocomplete pseudo -algebras. We use…