2 citations · 7 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
States on EMV-algebras
Anatolij Dvurečenskij, Omid Zahiri
We define a state as a -valued, finitely additive function attaining the value on an EMV-algebra, which is an algebraic structure close to MV-algebras, where the top ele…
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…