2 citations · 7 across the 14 of their papers we have counts for
8 papers · 1 filter
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…
Morphisms on -algebras and Their Applications
Anatolij Dvurečenskij, Omid Zahiri
For a new class of algebras, called -algebras, every idempotent element determines an -algebra which is important for the structure of the -algebra. Therefore, in…
The Loomis--Sikorski Theorem for -algebras
Anatolij Dvurečenskij, Omid Zahiri
Recently, in [DvZa], we have introduced -algebras which resemble -algebras but the top element is not guaranteed for them. For -complete -algebras, we prove an ana…
On EMV-algebras
Anatolij Dvurečenskij, Omid Zahiri
The paper deals with an algebraic extension of -algebras based on the definition of generalized Boolean algebras. We introduce a new algebraic structure, not necessarily with a…
On epicomplete -algebras
Anatolij Dvurečenskij, Omid Zahiri
The aim of the paper is to study epicomplete objects in the category of -algebras. A relation between injective -algebras and epicomplete -algebras is found, an equival…
Some results on -complete lattices
Anatolij Dvurečenskij, Omid Zahiri
The paper deals with special types of -ordered set, -fuzzy complete lattices, and fuzzy directed complete posets (fuzzy s). First, a theorem for constructing monotone m…
Pseudo Equality Algebras -- Revision
Anatolij Dvurečenskij, Omid Zahiri
Recently Jenei introduced a new structure called equality algebras which is inspired by ideas of BCK-algebras with meet. These algebras were generalized by Jenei and Kóródi to pseu…
State BCK-algebras and State-Morphism BCK-algebras
R. A. Borzooei, A. Dvurečenskij, O. Zahiri
In the paper, we define the notion of a state BCK-algebra and a state-morphism BCK-algebra extending the language of BCK-algebras by adding a unary operator which models probabilis…