منابع مشابه
Free Lukasiewicz and Hoop Residuation Algebras
Hoop residuation algebras are the {→, 1}-subreducts of hoops; they include Hilbert algebras and the {→, 1}-reducts of MV-algebras (also known as Wajsberg algebras). The paper investigates the structure and cardinality of finitely generated algebras in varieties of kpotent hoop residuation algebras. The assumption of k-potency guarantees local finiteness of the varieties considered. It is shown ...
متن کاملContinuous approximations of MV-algebras with product and product residuation
Recently, MV -algebras with product have been investigated from different points of view. In particular, in [EGM01], a variety resulting from the combination of MV -algebras and product algebras (see [H98]) has been introduced. The elements of this variety are called LΠ-algebras. Even though the language of LΠ-algebras is strong enough to describe the main properties of product and of Lukasiewi...
متن کاملDuals of Pointed Hopf Algebras
In this paper, we study the duals of some finite dimensional pointed Hopf algebras working over an algebraically closed field k of characteristic 0. In particular, we study pointed Hopf algebras with coradical k[Γ] for Γ a finite abelian group, and with associated graded Hopf algebra of the form B(V )#k[Γ] where B(V ) is the Nichols algebra of V = ⊕iV χi gi ∈ k[Γ] k[Γ]YD. As a corollary to a ge...
متن کاملSecond duals of measure algebras
Let G be a locally compact group. We shall study the Banach algebras which are the group algebra L(G) and the measure algebra M(G) on G, concentrating on their second dual algebras. As a preliminary we shall study the second dual C0(Ω) ′′ of the C∗-algebra C0(Ω) for a locally compact space Ω, recognizing this space as C(Ω̃), where Ω̃ is the hyper-Stonean envelope of Ω. We shall study the C∗-algeb...
متن کاملMeasure algebras and their second duals
and similarly for the right topological centre Z(r)(A′′). The algebra A is said to be Arens regular if Z(`)(A′′) = Z(r)(A′′) = A′′ and strongly Arens irregular if Z(`)(A′′) = Z(r)(A′′) = A. For example, every C∗-algebra is Arens regular [2]. There has been a great deal of study of these two algebras, especially in the case where A is the group algebra L(G) for a locally compact group G. Results...
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ژورنال
عنوان ژورنال: Algebra universalis
سال: 2019
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s00012-019-0613-5