Results 51 to 60 of about 40,826 (196)

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

On Weak-BCC-Algebras

open access: yesThe Scientific World Journal, 2013
We describe weak-BCC-algebras (also called BZ-algebras) in which the condition is satisfied only in the case when elements belong to the same branch. We also characterize ideals, nilradicals, and nilpotent elements of such algebras.
Janus Thomys, Xiaohong Zhang
doaj   +1 more source

Conjugacy classes of parabolic subalgebras in complex semi-simple lie algebras [PDF]

open access: yes, 1976
For a complex semi simple Lie algebra g, Richardson's dense orbit theorem gives a map between conjugacy classes of parabolic subalgebras in g and conjugacy classes of nilpotent elements.
Johnston, D.S.
core  

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré   +4 more
wiley   +1 more source

A typical graph structure of a ring [PDF]

open access: yesTransactions on Combinatorics, 2015
The zero-divisor graph of a commutative ring R with respect to nilpotent elements is a simple undirected graph $Gamma_N^*(R)$ with vertex set Z_N(R)*, and two vertices x and y are adjacent if and only if xy is nilpotent and xy is nonzero, where Z_N(R)={x
R. Kala , S. Kavitha
doaj  

Extremal limits of the Cvetic-Youm black hole and nilpotent orbits of G2(2)

open access: yes, 2010
We study extremal cohomogeneity one five-dimensional asymptotically flat black holes of minimal supergravity in terms of the geodesics generated by nilpotent elements of the Lie algebra g2(2) on the coset manifold G2(2)/SO(2,2). There are two branches of
Hörnlund, Josef Lindman   +1 more
core   +1 more source

The Global Glimm Property for C*‐algebras of topological dimension zero

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract We show that a C∗$C^*$‐algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is nowhere scattered (no hereditary subalgebra admits a finite‐dimensional representation). This solves the Global Glimm Problem in this setting.
Ping Wong Ng   +2 more
wiley   +1 more source

On Nilpotent Elements and Armendariz Modules

open access: yesMathematics
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   +4 more
doaj   +1 more source

Nilpotent Elements in Skew Polynomial Rings [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2017
Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj  

On the range of nth order derivations acting on commutative Banach positive squares ℓ-algebras

open access: yesTopological Algebra and its Applications, 2015
In this paper we prove that the image of a nth order derivation on real commutative Banach ℓ-algebras with positive squares is contained in the set of nilpotent elements.
Kouki Naoual, Toumi Mohamed Ali
doaj   +1 more source

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