Results 41 to 50 of about 125,672 (183)
Homomorphisms of the lattice of slowly oscillating functions on the half-line
Applied General TopologyWe study the space H(SO) of all homomorphisms of the vector lattice of all slowly oscillating functions on the half-line ℍ = [ 0 , ∞ ) . In contrast to the case of homomorphisms of uniformly continuous functions, it is shown that a homomorphism in H(SO ...
Yutaka Iwamoto
doaj +1 more source
L(2, 1)-Labelings of Some Families of Oriented Planar Graphs
Discussiones Mathematicae Graph Theory, 2014 In this paper we determine, or give lower and upper bounds on, the 2-dipath and oriented L(2, 1)-span of the family of planar graphs, planar graphs with girth 5, 11, 16, partial k-trees, outerplanar graphs and cacti.
Sen Sagnik
doaj +1 more source
Twisted Alexander polynomials and surjectivity of a group homomorphism
, 2005 If phi: G-->G' is a surjective homomorphism, we prove that the twisted Alexander polynomial of G is divisible by the twisted Alexander polynomial of G'.
Crowell +7 more
core +1 more source
A note on relative Gelfand–Fuks cohomology of spheres
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley +1 more source
Polynomial identities for quivers via incidence algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We show that the path algebra of a quiver satisfies the same polynomial identities (PI) of an algebra of matrices, if any. In particular, the algebra of n×n$n\times n$ matrices is PI‐equivalent to the path algebra of the oriented cycle with n$n$ vertices.
Allan Berele +3 more
wiley +1 more source
Application of Group‐Theoretical Approaches in Structural Natural Frequency Analyses
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT Group theory has profoundly advanced physics and chemistry in systems with symmetries. Yet its use in structural engineering applications has not yet been fully explored beyond the aesthetics of symmetric designs. This work addresses two significant gaps that have limited the broader adoption of group‐theoretic methods in structural vibration ...
Shiyao Sun, Kapil Khandelwal
wiley +1 more source
On r-Ideals and m-k-Ideals in BN-Algebras
Axioms, 2022 A BN-algebra is a non-empty set X with a binary operation “∗” and a constant 0 that satisfies the following axioms: (B1) x∗x=0, (B2) x∗0=x, and (BN) (x∗y)∗z=(0∗z)∗(y∗x) for all x, y, z ∈X.
Sri Gemawati +4 more
doaj +1 more source
Between 2- and 3-colorability [PDF]
, 2014 We consider the question of the existence of homomorphisms between $G_{n,p}$ and odd cycles when $p=c/n ...
Frieze, Alan, Pegden, Wesley
core +2 more sources
The Tannakian Formalism and the Langlands Conjectures
, 2010 Let H be a connected reductive group over an algebraically closed field of characteristic zero, and let G be an abstract group. In this note we show that every homomorphism from the Grothendieck semiring of H to that of G which maps irreducible ...
Chevalley +5 more
core +1 more source
Lattices of homomorphisms [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1986 AbstractGiven a variety K of lattice-ordered algebras, A ∈ K is catalytic if for all B ∈ K, K(A, B) is a lattice for the pointwise order. The catalytic objects are determined for various varieties of distributive-lattice-ordered algebras. The characterisations obtained do not show an overall unity and exhibit diverse behaviour.
Davey, B, Priestley, H
openaire +3 more sources