Results 71 to 80 of about 128 (117)

Direct sums of J-rings and radical rings

International Journal of Mathematics and Mathematical Sciences, 1995
Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m=m(x,y)>1 and n=n(x,y)>1 such that xmy=xyn and if each x∈R is the sum of a potent element and a ...
Xiuzhan Guo
doaj   +1 more source

The classification of modular Lie superalgebras of type M

Open Mathematics, 2015
The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements.
Ma Lili, Chen Liangyun
doaj   +1 more source

Finite groups whose order graph is C4-free [PDF]

Proceedings of the Estonian Academy of Sciences
Given a finite group G , the order graph of G, denoted by S(G), is a graph whose vertex set is G, and two distinct vertices a and b are adjacent if o(a) | o(b) or o(b) | o(a), where o(a), and o(b), are the orders of a and b in G, respectively.
Jin Chen, Jie Chen, Shixun Lin
doaj   +1 more source

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

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

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 of skew polynomial rings

Journal of Mathematical Extension, 2012
Summary: We study the structure of the set of nilpotent elements in skew polynomial ring \(R[x;\alpha]\), when \(R\) is an \(\alpha\)-Armendariz ring. We prove that if \(R\) is a nil \(\alpha\)-Armendariz ring and \(\alpha^t=I_R\), then the set of nilpotent elements of \(R\) is an \(\alpha\)-compatible subring of \(R\).
J. Esmaeili, E. Hashemi
openaire   +3 more sources

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

Optimal Subgroups and Applications to Nilpotent Elements [PDF]

Transformation Groups, 2008
Let G be a reductive group acting on an affine variety X, let x in X be a point whose G-orbit is not closed, and let S be a G-stable closed subvariety of X which meets the closure of the G-orbit of x but does not contain x. In this paper, we study G.R.
openaire   +3 more sources