Results 81 to 90 of about 621 (193)

On Poisson (2-3)-algebras which are finite-dimensional over the center

Researches in Mathematics
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev, O.O. Pypka, I.V. Shyshenko   +2 more
doaj   +1 more source

Absolute ideals of almost completely decomposable abelian groups

Journal of Group Theory
Abstract Let 𝐺 be an abelian group. A subgroup of 𝐺 is called an absolute ideal of 𝐺 if it is an ideal in any ring on 𝐺. In this paper, we describe the principal absolute ideals of groups in the class A ...
Kompantseva, Ekaterina, Tuganbaev, Askar
openaire   +2 more sources

The sequential (distributional) topological complexity of the ordered configuration space of disks in a strip

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract How hard is it to program n$n$ robots to move about a long narrow aisle while making a series of r−2$r-2$ intermediate stops, provided only w$w$ of the robots can fit across the width of the aisle? In this paper, we answer this question by calculating the rth$r{\text{th}}$‐sequential topological complexity of conf(n,w)$\text{conf}(n,w)$, the ...
Nicholas Wawrykow
wiley   +1 more source

The condition number associated with ideal lattices from odd prime degree cyclic number fields

Journal of Mathematical Cryptology
The condition number of a generator matrix of an ideal lattice derived from the ring of integers of an algebraic number field is an important quantity associated with the equivalence between two computational problems in lattice-based cryptography, the ...
de Araujo Robson Ricardo
doaj   +1 more source

Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña, Jon González‐Sánchez, Lander Guerrero‐Sánchez   +2 more
wiley   +1 more source

Regularity of Idempotent Reflexive GP-V’-Rings

Mathematics
This paper discusses the regularity of the GP-V’-rings in conjunction with idempotent reflexivity for the first time. We mainly discuss the weak and strong regularity of the GP-V’-rings using generalized weak ideals, weakly right ideals, and quasi-ideals.
Liuwen Li, Wenlin Zou, Ying Li
doaj   +1 more source

Abelian threefolds with imaginary multiplication

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
wiley   +1 more source

Robust and Clean Majorana Zero Mode in the Vortex Core of High-Temperature Superconductor (Li_{0.84}Fe_{0.16})OHFeSe

Physical Review X, 2018
The Majorana fermion, which is its own antiparticle and obeys non-Abelian statistics, plays a critical role in topological quantum computing. It can be realized as a bound state at zero energy, called a Majorana zero mode (MZM), in the vortex core of a ...
Qin Liu, Chen Chen, Tong Zhang, Rui Peng, Ya-Jun Yan, Chen-Hao-Ping Wen, Xia Lou, Yu-Long Huang, Jin-Peng Tian, Xiao-Li Dong, Guang-Wei Wang, Wei-Cheng Bao, Qiang-Hua Wang, Zhi-Ping Yin, Zhong-Xian Zhao, Dong-Lai Feng   +15 more
doaj   +1 more source

On exotic matrix exponential sums and Bessel–Speh functions

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley   +1 more source

On Almost Everywhere K-Additive Set-Valued Maps

Annales Mathematicae Silesianae
Let X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
doaj   +1 more source