Representable sequential algebras and observation spaces
نویسنده
چکیده
We define the concepts of representable and abstract sequential Q-algebra, which are generalizations of the (relational) Q-algebras in [10]. Just as in that paper, we then prove that the two concepts coincide. In the following section we recall the concept of observation space and note that all complex algebras of observation spaces are representable sequential algebras. Finally we give an uncountable family of representable sequential algebras that generate distinct minimal varieties (i.e. covers of the variety of one-element algebras).
منابع مشابه
Non-finite axiomatizability of reducts of algebras of relations
In this paper, we prove that any subreduct of the class of representable relation algebras whose similarity type includes intersection, relation composition and converse is a non-finitely axiomatizable quasivariety and that its equational theory is not finitely based. We show the same result for subreducts of the class of representable cylindric algebras of dimension at least three whose simila...
متن کاملOn Marczewski-burstin Representations of Algebras and Ideals
We study MB-representations of algebras and ideals when they are relativized to a subset, and when one considers the operations of sum and intersection for families of algebras and ideals. We observe that the algebras ∆α, 3 ≤ α < ω1, on R are MB-representable under GCH. We find a class of topological spaces in which the algebra of clopen sets is MB-representable.
متن کاملOn Unitary Representability of Topological Groups
We prove that the additive group (E∗, τk(E)) of an L∞-Banach space E, with the topology τk(E) of uniform convergence on compact subsets of E, is topologically isomorphic to a subgroup of the unitary group of some Hilbert space (is unitarily representable). This is the same as proving that the topological group (E∗, τk(E)) is uniformly homeomorphic to a subset of ` κ 2 for some κ. As an immediat...
متن کاملQuotients of Functors of Artin Rings
One of the fundamental problems in the study of moduli spaces is to give an intrinsic characterisation of representable functors of schemes, or of functors that are quotients of representable ones of some sort. Such questions are in general hard, leading naturally to geometry of algebraic stacks and spaces (see [1, 3]). On the other hand, in infinitesimal deformation theory a classical criterio...
متن کاملHilbert Spaces of Dirichlet Series
We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted l2 norms of the Dirichlet coefficients. We characterize the multiplier algebras for some of these spaces. 0 Introduction Let w = {wn}n=n0 be a sequence of positive numbers. In this paper we are concerned with Hilbert spaces of functions representable by Dirichlet series: H w = {
متن کامل