Results 31 to 40 of about 1,062 (223)
Nahms Equations and Nilpotent Orbits [PDF]
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
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Structure of rings with certain conditions on zero divisors
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
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Amalgamated rings with m-nil clean properties
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
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Nilpotent elements in Banach algebras [PDF]
Let A \mathfrak {A} be an
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Congruence-simple semirings without nilpotent elements
We provide a classification of congruence-simple semirings with a multiplicatively absorbing element and without non-trivial nilpotent ...
Kepka, Tomáš +2 more
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Force and Shape Control Strategies for Minimum Energy Adaptive Structures
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
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On prime rings with commuting nilpotent elements [PDF]
Let R R be a prime ring in which the nilpotent elements commute. If
Chebotar, M. A. +2 more
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Remarks on the group of unıts of a corner ring
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
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Logarithmic W-algebras and Argyres-Douglas theories at higher rank
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
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Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute
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.
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