Results 81 to 90 of about 2,880 (211)
Hopfian additive groups of rings [PDF]
A group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
doaj +1 more source
Sensitivity and Hamming Graphs
ABSTRACT For any m ≥ 3 we show that the Hamming graph H ( n , m ) admits an imbalanced partition into m sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio +3 more
wiley +1 more source
The abelianization of hypercyclic groups
It was shown in the literature that the Abelianization of a hypercentral group has a considerable influence on the structure of the group itself. Since hypercentral groups are hypercyclic groups, it is natural to ask whether the results obtained for hypercentral groups extend to hypercyclic groups. In the article under review, different aspects of this
openaire +3 more sources
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
Computing the Molecular Ground State Energy in a Restricted Active Space Using Quantum Annealing
Can modern quantum annealers tackle realistic molecular problems? By combining XBK Hamiltonian mappings, next‐generation D‐Wave hardware, and advanced annealing protocols, significantly larger molecular instances become accessible with improved energy accuracy.
Stefano Bruni, Enrico Prati
wiley +1 more source
On a variation of Sands' method
A subset of a finite additive abelian group G is a Z-set if for all a∈G, na∈G for all n∈Z. The group G is called Z-good if in every factorization G=A⊕B, where A and B are Z-sets at least one factor is periodic. Otherwise G is called Z-bad.
Evelyn E. Obaid
doaj +1 more source
Renormalization techniques for inflation systems and some of their applications
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake +4 more
wiley +1 more source
Some remarks on regular subgroups of the affine group [PDF]
Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
doaj
On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
wiley +1 more source
Tate modules as condensed modules
Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani +2 more
wiley +1 more source

