Results 131 to 140 of about 3,490 (238)

Hilbert Coefficients of Quadratic Algebras

Journal of Experimental Mathematics
If R = k[x1,...,xn]/I is a graded artinian algebra, then the length of k[x1,...,xn]/Is becomes a polynomial in s of degree n for large s. If we write this polynomial in the form ∑0<=i<=n (−1)i ei (s+n−i−1 choose n−i), then the ei's are called Hilbert coefficients of I.
openaire   +2 more sources

Combinatorial zeta functions counting triangles

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard, Yann Chaubet, Nguyen Viet Dang, Thomas Schick   +3 more
wiley   +1 more source

Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley   +1 more source

Approximation properties for discrete groups

, 2006
We give an overview of approximation properties in the context of operator algebras associated with ...
Brodzki, Jacek, Niblo, Graham A.
core  

Extensions of Effect Algebra Operations

Acta Polytechnica, 2011
We study the set of all positive linear operators densely defined in an infinite-dimensional complex Hilbert space. We equip this set with various effect algebraic operations making it a generalized effect algebra.
Z. Riečanová, M. Zajac
doaj  

Some results in local Hilbert algebras

, 2017
In this paper, we study local Hilbert algebras and give some theorems that characterize local Hilbert algebras. Also, we prove that, (i) H is a local Hilbert algebra if and only if the set of all dense elements of H is H ∖ {0}.
Arsham Borumand Saeid, Ali Soleimani Nasab   +1 more
core   +1 more source

MULTIPLIERS IN HILBERT ALGEBRAS

Journal of the Chungcheong Mathematical Society, 2012
In this paper, we introduce the concept of multiplier in a Hilbert algebra and obtained some properties of multipliers. Also, we introduce the simple multiplier and characterized the kernel of multipliers in Hilbert algebras.
openaire   +1 more source

Miscellaneous Applications of Quons

Symmetry, Integrability and Geometry: Methods and Applications, 2007
This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We show the interest of such algebras for fractional supersymmetric quantum mechanics, angular momentum theory and quantum ...
Maurice R. Kibler
doaj  

Hilbert space effect algebras

, 2007
We introduce some natural numerical quantities which measure different kinds of correspondences between Hilbert space effect. We show that every bijective map of the space of all effects on the Hilbert space H which preserves any of these quantities is ...
Kovács, Endre
core  

Effect Algebras of Positive Self-adjoint Operators Densely Defined on Hilbert Spaces

Acta Polytechnica, 2011
We show that (generalized) effect algebras may be suitable very simple and natural algebraic structures for sets of (unbounded) positive self-adjoint linear operators densely defined on an infinite-dimensional complex Hilbert space.
Z. Riečanová
doaj