Results 41 to 50 of about 406 (182)
The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
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The 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
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On the generalization of pseudo p-closure in pseudo BCI-algebras [PDF]
Journal of HyperstructuresIn this paper, the notion of generalization of pseudo p-closure, denoted by gcl, is introduced and its related properties are investigated. The gcl of subalgebras and pseudo-ideals is discussed.
Padena Pirzadeh Ahvazi +2 more
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Nilpotent Elements in Lie Algebras
Journal of Algebra, 1990 A classical result of \textit{Fine} and \textit{Herstein} is that the number of n by n nilpotent matrices with entries in GF(q) is a power of q, that power being \(n^ 2-n\). Kaplansky formulates an analogous problem in Lie algebras as follows: For a simple Lie algebra L of n by n matrices with entries from a field of q elements, is the number of ...
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A birational description of the minimal exponent
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
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Regular Nilpotent Elements and Quantum Groups [PDF]
Communications in Mathematical Physics, 1999 23 pages, LaTeX ...
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Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
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On Nilpotent Elements and Armendariz Modules
MathematicsFor 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
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A typical graph structure of a ring [PDF]
Transactions 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
A note on rings with central nilpotent elements [PDF]
Proceedings of the American Mathematical Society, 1954 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.
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