Results 71 to 80 of about 1,530 (213)
Some Notes on Relative Commutators
Let G be a group and α ϵ Aut(G). An α-commutator of elements x, y ϵ G is defined as [x, y]α = x-1y-1xyα. In 2015, Barzegar et al. introduced an α-commutator of elements of G and defined a new generalization of nilpotent groups by using the definition of
Masoumeh Ganjali, Ahmad Erfanian
doaj +1 more source
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
wiley +1 more source
Which singular tangent bundles are isomorphic?
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
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
$\alpha_{\beta}$-BOUNDED SETS AND $\alpha_{\beta}$-TOPOLOGICALLY NILPOTENT ELEMENTS
The aim of this paper is to define and discuss the properties of $\alpha_{\beta}$-boundedness, $\alpha_{\beta}$-topological divisor of zero and $\alpha_{\beta}$-topologically nilpotent ...
Ibrahim, Hariwan Z., Khalaf, Alias B.
core +1 more source
A note on rings with central nilpotent elements [PDF]
PROOF. Since xn+lp(X)=Xn, we have that (x2p(x)-x)xn-'=O (we can assume that n > 1 for this could always be achieved by multiplying both sides of the equation by x). Now, each term of (x2p(x) -x)ninvolves x to a power which is at least n-1; therefore (x2p(x) -x)n = (x2p(x) -x) (x2p(x) -x)n= 0.
openaire +1 more source
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
On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2≤n≤3 [PDF]
The objective of this paper is to study the two-fold fuzzy algebra based on n-refined neutrosophic rings for some different special values of n, where we study some of the special elements in the case of two-fold 2-refined neutrosophic ring and 3-refined
Abdallah Shihadeh +4 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
doaj +1 more source
Nilpotent elements in the Green ring
Let k be a field of characteristic p and G a finite group. Theorem 2.1 is a generalization of a theorem of Landrock for the absolutely irreducible case: Suppose that M and N are absolutely indecomposable kG-modules. Then \(M\otimes N\) has the trivial module k as a direct summand if and only if the following two conditions are satisfied: (i) \(M\cong N^
Benson, D.J, Carlson, J.F
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