Let ? be a fixed complex number, and let simply connected region in plane C that is starlike with respect to ?. We define some Banach space of analytic functions on prove it algebra the ?-Duhamel product defined by (f?? g)(z) := d/dz z?? f(z+??t)g(t)dt. its maximal ideal consists homomorphism h? h?(f)=f(?). Further, we characterize lattice invariant subspaces integration operator J?f(z)=?z? f(t...

Let M = B/Γ be a smooth ball quotient of finite volume with first betti number b1(M) and let E(M) ≥ 0 be the number of cusps (i.e., topological ends) of M . We study the growth rates that are possible in towers of finite-sheeted coverings of M . In particular, b1 and E have little to do with one another, in contrast with the well-understood cases of hyperbolic 2and 3-manifolds. We also discuss ...

Completely regular semigroups CR are regarded here as algebras with multiplication and the unary operation of inversion. Their lattice of varieties is denoted by L.CR/. Let B denote the variety of bands and L.B/ the lattice of its subvarieties. The mapping V → V ∩ B is a complete homomorphism of L.CR/ onto L.B/. The congruence induced by it has classes that are intervals, say VB = [VB ;V B] for...

It is a known fact that the subobjects of an object in an adhesive category form a distributive lattice. Building on this observation, in the paper we show how the representation theorem for finite distributive lattices applies to subobject lattices. In particular, we introduce a notion of irreducible object in an adhesive category, and we prove that any finite object of an adhesive category ca...

In this paper, we show that the basic results in large deviations theory hold for general monetary risk measures, which satisfy crucial property of max-stability. A max-stable measure fulfills a lattice homomorphism property, and satisfies under suitable tightness condition Laplace Principle (LP), is, admits dual representation with affine convex conjugate. By replacing asymptotic concentration...

We consider four different models of process interactions that unify and generalise models introduced and studied by Angluin et al. [AAD04] and models introduced and studied by Mazurkiewicz [Maz04a,Maz04b]. We encode these models by labelled (hyper)graphs and relabelling rules on this labelled (hyper)graphs called negotiations. Then for these models, we give complete characterisations of labell...

‎let $m$ be a non-zero finitely generated module over a commutative noetherian local ring $(r,mathfrak{m})$ with $dim_r(m)=t$‎. ‎let $i$ be an ideal of $r$ with $grade(i,m)=c$‎. ‎in this article we will investigate several natural homomorphisms of local cohomology modules‎. ‎the main purpose of this article is to investigate when the natural homomorphisms $gamma‎: ‎tor^{r}_c(k,h^c_i(m))to kotim...

The paper deals with weak congruences of algebras having at least two constants in the similarity type. The presence of constants is a necessary condition for complementedness of the weak congruence lattices of non-trivial algebras. Some sufficient conditions for the same property are also given. In particular, so called 0,1-algebras have complemented weak congruence lattices if and only if the...

Topos-theoretic semantics for modal logic usually considers structures induced by a surjective geometric morphism f : F → E . f restricts to an injective (complete) distributive lattice homomorphism ∆A : SubE(A) −→ SubF (f∗A), for each A in E and natural in A w.r.t. to pullback. Each ∆A has a right adjoint ΓA that composes with ∆A to an endofunctor ∆AΓA on the Heyting algebra SubF (f ∗A) that s...