Results 21 to 30 of about 70,900 (224)
Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]
We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
core +2 more sources
Strongly 2T - Clean Rings [PDF]
An element a in a ring R is referred to be strongly 2T-clean (2 – STC element for short), a = Ω-Λ+u, where Ω,Λ are idempotent elements and u is a unit elements of order three.
Zeina Hamady, Nazar Shuker
doaj +1 more source
An operator \(T\) on a Banach space \(X\) is called nilpotent if there exists some natural number \(n\) such that \(T^n= 0\). A classical problem in operator theory is to characterize nilpotent operators. There are many well-known results on this problem. The author produces new necessary and sufficient conditions for an operator \(T\) to be nilpotent.
openaire +3 more sources
On groups covered by locally nilpotent subgroups [PDF]
Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa +2 more
core +1 more source
Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
doaj +1 more source
Study Some Properties of a Circulant Matrix
The aim of this paper is to study the properties of idempotent, nilpotent and stability to a circulant matrix which generated by the first row, finally we showed the relation between this properties with eigenvalues of this matrix.
Akram Salim Mohammed
doaj +1 more source
On Nilpotency and Asymptotic Nilpotency of Cellular Automata [PDF]
We prove a conjecture of P. Guillon and G. Richard by showing that cellular automata that eventually fix all cells to a fixed symbol 0 are nilpotent on S^Z^d for all d. We also briefly discuss nilpotency on other subshifts, and show that weak nilpotency implies nilpotency in all subshifts and all dimensions, since we do not know a published reference ...
openaire +6 more sources
We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with.
Dhivya C, Radha D
doaj +1 more source
Generalized nilpotent braces and nilpotent groups [PDF]
The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given.
Martyn Dixon +2 more
doaj +1 more source

