Results 101 to 110 of about 1,529 (200)

On Automorphisms of Line-graphs

European Journal of Combinatorics, 1980
This paper generalizes some results on hypergraph reconstruction due to \textit{C. Berge} [C. R. Acad. Sci., Paris, Ser. A 274, 1783-1786 (1972; Zbl 0236.05129)] and \textit{J.C.Fournier} [Proc. 1rst Working Sem. Hypergraphs, Columbus 1972, Lecture Notes Math. 411, 95-98 (1974; Zbl 0302.05113)].
Péter L. Erdös, Zoltán Füredi
openaire   +1 more source

The pants graph of a free group

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to the formation of a simplicial graph, referred to as the pants graph of a free group, consisting of all possible pants decompositions.
Donggyun Seo
wiley   +1 more source

Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I

Известия Иркутского государственного университета: Серия "Математика"
Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
doaj   +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

Skew Cyclic Codes Over ℤ₄ + uℤ₄ With Derivation Based on a New Gray Map and Automorphism

IEEE Access
This paper investigates the algebraic structure and properties of skew cyclic codes over the finite chain ring $R = \mathbb {Z}_{4} + u\mathbb {Z}_{4}$ , where $u^{2} = 0$ .
Eda Tekin
doaj   +1 more source

An application of the Sakai's theorem to the characterization of H*-algebras

International Journal of Mathematics and Mathematical Sciences, 1995
The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative H*-algebras via two-sided H*-algebras.
Borut Zalar
doaj   +1 more source

Nil sets defined through generalized skew derivations having a Jordan-like behavior

Mathematics Open
Let R be a prime ring of characteristic different from [Formula: see text], C its extended centroid, F and G non-zero generalized skew derivations of R, associated with the same automorphism [Formula: see text] of R and [Formula: see text] a fixed ...
Francesco Ammendolia, Vincenzo De Filippis   +1 more
doaj   +1 more source

The Cyclically Resolvable Steiner Triple Systems of Order 57

Mathematics
A resolution of a Steiner triple system of order v (STS(v)) is point-cyclic if it has an automorphism permuting the points in one cycle. An STS(v) is cyclically resolvable if it has at least one point-cyclic resolution. Cyclically resolvable STS(v)s have
Svetlana Topalova, Stela Zhelezova
doaj   +1 more source

Involutions of the Moduli Space of Principal E₆-Bundles over a Compact Riemann Surface

Axioms
In this paper, the fixed points of involutions on the moduli space of principal E6-bundles over a compact Riemann surface X are investigated. In particular, it is proved that the combined action of a representative σ of the outer involution of E6 with ...
Álvaro Antón-Sancho
doaj   +1 more source

On topological groups of automorphisms

Applied General Topology
We study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
doaj   +1 more source