Results 41 to 50 of about 206 (186)

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Rings in Which Every Element Is a Sum of a Nilpotent and Three 7-Potents

International Journal of Mathematics and Mathematical Sciences
In this article, we define and discuss strongly S3,7 nil-clean rings: every element in a ring is the sum of a nilpotent and three 7-potents that commute with each other.
Yanyuan Wang, Xinsong Yang
doaj   +1 more source

Residually rationally solvable one‐relator groups

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley   +1 more source

Radical preservation and the finitistic dimension

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley   +1 more source

A weak periodicity condition for rings

International Journal of Mathematics and Mathematical Sciences, 2005
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element.
Hazar Abu-Khuzam, Howard E. Bell, Adil Yaqub   +2 more
doaj   +1 more source

Class-preserving Coleman automorphisms of some classes of finite groups

Open Mathematics, 2022
The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
doaj   +1 more source

Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama, Yueshi Hou, Shangjie Zhang   +2 more
wiley   +1 more source

On Nil-Symmetric Rings

Journal of Mathematics, 2014
The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and a particular case of nil-semicommutative rings. A ring R is called right (left) nil-symmetric if, for a,b,c∈R, where a,b are nilpotent elements, abc=0  (cab=
Uday Shankar Chakraborty, Krishnendu Das
doaj   +1 more source

On Left T-Nilpotent Rings

Results in Mathematics
AbstractIt is shown that any ring being a sum of two left T-nilpotent subrings is left T-nilpotent. The paper contains the description of all the semigroups S such that an S-graded ring $$R=\bigoplus _{s\in S}A_s$$ R = ⨁
Ryszard R. Andruszkiewicz, Marek Kȩpczyk   +1 more
openaire   +1 more source