Results 91 to 100 of about 40,826 (196)
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.
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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
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, 2019 We develop a general theory of $W$-algebras in the context of supersymmetric vertex algebras. We describe the structure of $W$-algebras associated with odd nilpotent elements of Lie superalgebras in terms of their free generating sets. As an application,
Molev, Alexander +2 more
core
On Generalized Periodic-Like Rings
International Journal of Mathematics and Mathematical Sciences, 2007 Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z.
Howard E. Bell, Adil Yaqub
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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
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A Characterization of Left Regularity
Universal Journal of Mathematics and Applications, 2019 We show that a zero-symmetric near-ring $N$ is left regular if and only if $N $ is regular and isomorphic to a subdirect product of integral near-rings, where each component is either an Anshel-Clay near-ring or a trivial integral near-ring. We also show
Peter Fuchs
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Primitive ideals, non-restricted representations and finite W-algebras
, 2006 We prove that all finite W-algebras associated with nilpotent elements e in a complex semisimple Lie algebra g have finite-dimensional representations. In order to obtain this result we establish a connection between primitive ideals of U(g) attached to ...
Premet, Alexander
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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.
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Hermitian Characteristics Of Nilpotent Elements [PDF]
, 2004 We define and study several equivariant stratifications of the isotropy and coisotropy representations of a parabolic subgroup in a complex reductive group.
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Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
Abstract and Applied Analysis, 2016 We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
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