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math.AC2017★ 1 cited
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…
math.AC2017
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…
math.AC2014
On a New Construction of Pseudo BL-Algebras
Anatolij Dvurečenskij
We present a new construction of a class pseudo BL-algebras, called kite pseudo BL-algebras. We start with a basic pseudo hoop . Using two injective mappings from one set, ,…