Results 31 to 40 of about 1,062 (223)

Nahms Equations and Nilpotent Orbits [PDF]

open access: yes, 2022
P. Kronheimer has identified certain space of solutions to Nahms equations with a coadjoint orbit of a nilpotent element in a complex, semi-simple Lie algebra and that way equipped the orbit with an hyperkähler structure plus additional symmetries.
Krüger, Christoff
core   +1 more source

Structure of rings with certain conditions on zero divisors

open access: yesInternational 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

Amalgamated rings with m-nil clean properties

open access: yesRatio 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   +1 more
doaj   +1 more source

Nilpotent elements in Banach algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
Let A \mathfrak {A} be an
openaire   +1 more source

Congruence-simple semirings without nilpotent elements

open access: yes, 2022
We provide a classification of congruence-simple semirings with a multiplicatively absorbing element and without non-trivial nilpotent ...
Kepka, Tomáš   +2 more
core   +1 more source

Force and Shape Control Strategies for Minimum Energy Adaptive Structures

open access: yesFrontiers 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]

open access: yesProceedings of the American Mathematical Society, 2009
Let R R be a prime ring in which the nilpotent elements commute. If
Chebotar, M. A.   +2 more
openaire   +2 more sources

Remarks on the group of unıts of a corner ring

open access: yesCumhuriyet 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

open access: yesJournal 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

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

open access: yesOpen 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

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