Results 111 to 120 of about 1,062 (223)

On connected components and perfect codes of proper order graphs of finite groups [PDF]

Proceedings of the Estonian Academy of Sciences
Let G be a finite group with the identity element e. The proper order graph of G, denoted by ℒ* (G), is an undirected graph with a vertex set G \ {e}, where two distinct vertices x and y are adjacent whenever o(x) | o(y) or o(y) | o(x), where o(x) and ...
Huani Li, Shixun Lin, Xuanlong Ma
doaj   +1 more source

LOCAL SPECTRAL PROPERTY OF RELATIVELY REGULAR OPERATORS

, 2017
In this paper, we study some relatively regular operators T such that T = TST for some S is an element of L(H). We give some spectral and local spectral properties between T and S.
고응일
core   +1 more source

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

Математичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

On Nilpotent Elements and Armendariz Modules

Mathematics
For a left module MR over a non-commutative ring R, the notion for the class of nilpotent elements (nilR(M)) was first introduced and studied by Sevviiri and Groenewald in 2014 (Commun. Algebra, 42, 571–577).
Nazeer Ansari, Kholood Alnefaie, Shakir Ali, Adnan Abbasi, Kh. Herachandra Singh   +4 more
doaj   +1 more source

Rings in Which Element is a Sum of the Transformation Elements of Idempotents and Special Elements

Journal of Mathematics
In this article, further generalizations are made for the nil clean ring and the ur-clean ring, obtained as extensions of the clean ring. Firstly, consider rings where each element can be expressed as n idempotents plus one nilpotent, any two commute ...
Xinsong Yang, Jiaxin Liu
doaj   +1 more source

Quantization of the AdS3 superparticle on OSP(1|2)2/SL(2,R)

Nuclear Physics B, 2017
We analyze AdS3 superparticle dynamics on the coset OSP(1|2)×OSP(1|2)/SL(2,R). The system is quantized in canonical coordinates obtained by gauge invariant Hamiltonian reduction.
Martin Heinze, George Jorjadze
doaj   +1 more source

The nilpotent regular element problem

, 2015
We use George Bergman's recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element $x$ need not be unit-regular. This contrasts sharply with the situation for nilpotent regular elements in exchange rings (a large class of rings), and for general rings when all powers of the nilpotent ...
Ara, P., O'Meara, K. C.
openaire   +2 more sources

On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]

International Journal of Group Theory
For a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$, that is $o( G)=\frac{1}{|G|}\sum_{x\in G}o(x)$, where $o(x)$ is the order of element $x$ in $G$.
Bijan Taeri, Ziba Tooshmalani
doaj   +1 more source

Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell

Forum of Mathematics, Sigma
Dale Peterson has discovered a surprising result that the quantum cohomology ring of the flag variety $\operatorname {\mathrm {GL}}_n({\mathbb {C}})/B$ is isomorphic to the coordinate ring of the intersection of the Peterson variety ...
Tatsuya Horiguchi, Tomoaki Shirato
doaj   +1 more source

On the ideals of extended quasi-nilpotent Banach algebras

International Journal of Mathematics and Mathematical Sciences, 1991
Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
Morteza Seddighin
doaj   +1 more source