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A note on the computation of the Frobenius number of a numerical semigroup
numerical semigroup Frobenius number monomial curve semigroup ideal
2011/8/26
Abstract: In this article we present a formula for the computation of the Frobenius number and the conductor of a numerical semigroup from the sockel of a quotient of certain semigroup ring.
The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property
C-algebra the Cuntz semigroup a Riesz type interpolation property
2011/2/25
We define a Riesz type interpolation property for the Cuntz semigroup of a C-algebra and prove it is satisfied by the Cuntz semigroup of every C-algebra with the ideal property. Related to this, we ...
On some ergodicity properties for time inhomogeneous Markov processes with $T$-periodic semigroup
Markov processes diffusion processes inhomogeneity in time periodicity Lyapunov function
2011/2/25
We consider a time inhomogeneous strong Markov process (ξt)t0 taking values in a Polish state space whose semigroup has a T -periodic structure. After reviewing some conditions which imply ergodicity...
Equivalent Semigroup Properties for Curvature-Dimension Condition
Curvature-dimension condition gradient inequality Harnack inequality
2011/2/28
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As ap-plications, the first eigenvalue, the ...
Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties
commutative monoid lattice commutative semigroup varieties
2010/11/11
Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.
A new Lax-Oleinik type semigroup for time-periodic positive definite Lagrangian systems
Lax-Oleinik type semigroup time-periodic positive definite Lagrangian systems
2010/11/15
In this paper we introduce a new Lax-Oleinik type semigroup associated with positive definite Lagrangian systems for both the time-independent case and the time-periodic case. We show that the new La...
A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations
Semigroup Point Splitting Schemes Differential Equations
2010/11/18
We construct normed spaces of real-valued functions with controlled growth on possibly infinite-dimensional state spaces such that semigroups of positive, bounded operators $(P_t)_{t\ge 0}$ thereon w...
Gradient Estimate on the Neumann Semigroup and Applications
Gradient estimate Neumann semigroup reflecting Brownian motion
2010/12/3
We prove the following sharp upper bound for the gradient of the Neumann semigroup Pt on a d-dimensional compact domain with boundary either C2- smooth or convex: k∇Ptk1→∞ ≤c t(d+1)/2
, t > 0,...
Dilations of semigroup crossed products as crossed products of dilations
Dilations of semigroup crossed products of dilations
2010/12/14
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C-algebra. Here we show that the...
Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers
Boundary quotients Toeplitz algebra affine semigroup natural numbers
2010/12/8
We study the Toeplitz algebra T (N ⋊ N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...
Modular and lower-modular elements of lattices of semigroup varieties
Semigroup variety lattice of varieties commutative variety
2010/12/3
The paper contains three main results. First, we show that if a commutative semigroup variety is a modular element of the lattice Com of all commutative semigroup varieties then it is either the varie...
Hilbert basis of the Lipman semigroup
normal surface singularity toric variety Lipman semigroup Hilbert basis
2010/11/29
In this work, we give a new method to compute the Hilbert basis,a finite set of generators, for the semigroup of certain positive divisors supported on the exceptional divisor of a normal surface sing...
Divisorial linear algebra of normal semigroup rings
Divisorial linear algebra normal semigroup rings
2010/10/29
We investigate the minimal number of generators $\mu$ and the depth of divisorial ideals over normal semigroup rings. Such ideals are defined by the inhomogeneous systems of linear inequalities assoc...