Results 101 to 110 of about 466,881 (179)
On the cohomology of finite‐dimensional nilpotent groups and lie rings
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
In this article, we study some properties of multiplication M Γ - modules and their prime M Γ -submodules. We verify the conditions of ACC and DCC on prime M Γ -submodules of multiplication M Γ - module.
A. A. Estaji +3 more
doaj
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Primitivity testing in free group algebras via duality
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel +2 more
wiley +1 more source
Independence and strong independence complexes of finite groups
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley +1 more source
Coulomb branch algebras via symplectic cohomology
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
On graded n−absorbing submodules
Let G be a group with identity e. Let R be a G−graded commutative ring, M be a graded R−module and n be a positive integer. In this article, we introduce and study the concepts of graded n−absorbing submodules.
Mohammad Hamoda, Arwa Eid Ashour
doaj
S-prime ideals and s-prime submodules
Bu tezde asal alt modüllerin bir genellemesi olarak S-asal alt modüller, burulmasız modüllerin bir genellemesi olarak S-burulmasız modüller kavramları çalışılmıştır.
Arabacı, Tarık
core
On \(\Phi\)-powerful submodules and \(\Phi\)-strongly prime submodules
Let R be a commutative ring with identity and N be a submodule of an R-module M. We say a nonnil submodule N of an R-module M is a Φ-powerful (resp., Φ-strongly prime) submodule, if Φ(N) is a powerful (resp., strongly prime) submodule of a module Φ(M). We show that a nonnil prime submodule N of an R-module M is a Φ-powerful submodule if and only if it ...
Waheed Ahmad Khan +2 more
openaire +2 more sources
Some results of Τ-quasi fuzzy prime submodules [PDF]
:In this research, the topic of Τ-quasi fuzzy prime submodule was studied, which is one of the types of partial fuzzy models. This work was divided into three sections, each of which has a study that begins by giving an introduction to the topic and ...
Hatam Khalf, Zainab Khalaf
doaj +1 more source

