1 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
Riesz space-valued states on pseudo MV-algebras
Anatolij Dvurečenskij
We introduce Riesz space-valued states, called -states, on a pseudo MV-algebra, where is a Riesz space with a fixed strong unit . Pseudo MV-algebras are a non-com…
Lexicographic Pseudo MV-algebras
Anatolij Dvurečenskij
A lexicographic pseudo MV-algebra is an algebra that is isomorphic to an interval in the lexicographic product of a linear unital group with an arbitrary -group. We present c…
-perfect Pseudo MV-algebras and Their Representations
Anatolij Dvurečenskij
We study -perfect pseudo MV-algebras, that is, algebras which can be split into a system of ordered slices indexed by the elements of an subgroup of the grou…