Results 31 to 40 of about 31,759 (192)
On T-nilpotence of a matrix set
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023 Let R be a ring and I be an arbitrary right T-nilpotent subset of R. In the paper it is proved that in this case the set of all n×n-matrices with entries in I is a right T-nilpotent subset of the ring of n×n-matrices with entries in R, where n 2 N.
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Computing Nilpotent Quotients in Finitely Presented Lie Rings [PDF]
, 1996 A nilpotent quotient algorithm for finitely presented Lie rings over Z (LieNQ) is described. The paper studies graded and non-graded cases separately.
Schneider, Csaba
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On Consistent and Weak Transitive Intuitionistic Fuzzy Matrices
Fuzzy Information and Engineering, 2022 In this paper, we discuss in detail several properties of two kinds of intuitionistic fuzzy matrices which they are consistent and weak transitive. The nilpotent and transitive intuitionistic fuzzy matrices play an important role in this discussion.
E. G. Emam
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On Decompositions of Matrices over Distributive Lattices
Journal of Applied Mathematics, 2014 Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1mLi ...
Yizhi Chen, Xianzhong Zhao
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De Sitter Supergravity Model Building
, 2015 We present the explicit de Sitter supergravity action describing the interaction of supergravity with an arbitrary number of chiral and vector multiplets as well as one nilpotent chiral multiplet. The action has a non-Gaussian dependence on the auxiliary
Kallosh, Renata, Wrase, Timm
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Finite Matrix Groups over Nilpotent Group Rings
Journal of Algebra, 1996 Let \(\mathbb{Z} H\) be the integral group ring of a group \(H\). The authors study the group \(\text{SGL}_n(\mathbb{Z} H)\) of matrices of augmentation one over the group ring \(\mathbb{Z} H\), and relate the torsion of \(\text{SGL}_n(\mathbb{Z} H)\) to the torsion of \(H\).
Marciniak, Zbigniew S. +1 more
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Elementary invariants for centralizers of nilpotent matrices
, 2006 We construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the Lie algebra gl_N(C).
Brundan +5 more
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The Scientific World Journal, 2013 Let be an arbitrary field and a square matrix over . Then is sum of two square nilpotent matrices over if and only if, for every algebraic extension of and arbitrary nonzero , there exist idempotent matrices and over such that .
Xiaofei Song +2 more
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On Lie-algebraic solutions of the type IIB matrix model
, 2011 A systematic search for Lie algebra solutions of the type IIB matrix model is performed. Our survey is based on the classification of all Lie algebras for dimensions up to five and of all nilpotent Lie algebras of dimension six. It is shown that Lie-type
A. Connes +10 more
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Some nilpotent and locally nilpotent matrix groups
Journal of Pure and Applied Algebra, 1989 The task of the paper under review is a detailed discussion of nilpotent and locally nilpotent matrix groups over ``special'' division rings. The notion of a ``special'' division ring is introduced by the author and denotes a division ring D with the following property: For every finite subset X of D and every finite subset Y of the subring R of D ...
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