Results 21 to 30 of about 1,744,733 (206)

Structure of rings with certain conditions on zero divisors

International Journal of Mathematics and Mathematical Sciences, 2006
Let R be a ring such that every zero divisor x is expressible as a sum of a nilpotent element and a potent element of R:x=a+b, where a is nilpotent, b is potent, and ab=ba. We call such a ring a D*-ring.
Hazar Abu-Khuzam, Adil Yaqub
doaj   +1 more source

On the Structure of some One-Generator Nilpotent Braces [PDF]

Advances in Group Theory and Applications
This article provides a detailed description of some nilpotent left braces generated by one element.
Martin R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin   +2 more
doaj   +1 more source

Amalgamated rings with m-nil clean properties

Ratio Mathematica, 2023
In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which  every element is a sum of a nilpotent and  an $m$-potent elements) to the amalgamarted rings.
Vijayanand Venkatachalam, Selvaraj Chelliah   +1 more
doaj   +1 more source

Force and Shape Control Strategies for Minimum Energy Adaptive Structures

Frontiers in Built Environment, 2020
This work presents force and shape control strategies for adaptive structures subjected to quasi-static loading. The adaptive structures are designed using an integrated structure-control optimization method developed in previous work, which produces ...
Gennaro Senatore, Arka P. Reksowardojo
doaj   +1 more source

On prime rings with commuting nilpotent elements [PDF]

Proceedings of the American Mathematical Society, 2009
Let R R be a prime ring in which the nilpotent elements commute. If
Chebotar, M. A., Lee, P. H., Puczylowski, E. R.   +2 more
openaire   +2 more sources

Nilpotent Orbits and Commutative Elements

Journal of Algebra, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, C.Kenneth, Stembridge, John R.
openaire   +2 more sources

Remarks on the group of unıts of a corner ring

Cumhuriyet Science Journal, 2021
The aim of this study is to characterize rings having the following properties for a non-trivial idempotent element e of R, U (eRe) = e + eJ(R)e = e + J (eRe) (and U (eRe) = e + N (eRe)),where U (-), N (-) and J (-) denote the group of units, the set of ...
Tülay Yıldırım
doaj   +1 more source

Logarithmic W-algebras and Argyres-Douglas theories at higher rank

Journal of High Energy Physics, 2018
Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and Tipunin and they are also obtained as modifications of semiclassical ...
Thomas Creutzig
doaj   +1 more source

Solvable Lie A-algebras. [PDF]

, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A.
core   +5 more sources

Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute

Open Mathematics, 2017
An element in a ring R with identity is said to be strongly nil clean if it is the sum of an idempotent and a nilpotent that commute, R is said to be strongly nil clean if every element of R is strongly nil clean. Let C(R) be the center of a ring R and g(
Handam Ali H., Khashan Hani A.
doaj   +1 more source