Results 161 to 170 of about 31,759 (192)

DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS

Journal of Algebra and Its Applications, 2010
Derivations of the ring of all finitary niltriangular matrices over an arbitrary associative ring with identity for any chain of matrix indices are described. Every Lie or Jordan derivation is a derivation of this ring modulo third hypercenter.
Levchuk, Vladimir M., Radchenko, Oksana V.   +1 more
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A Maximality Criterion for Nilpotent Commutative Matrix Algebras

Canadian Mathematical Bulletin, 1974
Let A be a commutative algebra contained in Mn(F), F a field. Then A is nilpotent if there exists v such that Av=(0), and is said to have nilpotency class k (denoted Cl(A)=k) if Ak=(0), but Ak-1≠(0). A well known result asserts that matrix algebras are nilpotent if and only if every element is nilpotent.
Handelman, D., Selick, P.
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On a matrix nilpotent filter

Mathematical Notes, 2012
We define two families of homogeneous ideals of the algebra of polynomials generated by power entries of the general matrix and its operator invariants. We study the combinatorial characteristics of these ideals and, in greater detail, the case of second order.
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ENUMERATION OF IDEALS OF SOME NILPOTENT MATRIX RINGS

Journal of Algebra and Its Applications, 2012
Using the method of integral representation of combinatorial sums we enumerate ideals of certain nilpotent matrix rings.
Egorychev, Georgy P., Kuzucuoğlu, Feride, Levchuk, Vladimir M.   +2 more
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Nilpotent matrix and Singular matrix

International Journal on Science and Technology
The nilopotent matrix and singular matrix same value satisfying by 0.
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Nilpotent matrix and Hermitian matrix

International Journal on Science and Technology
Nilpotent and Hermitian matrices are two important classes of matrices with distinct properties. A nilpotent matrix is a square matrix that, when raised to some power, becomes the zero matrix. A Hermitian matrix, on the other hand, is a square matrix that is equal to its conjugate transpose.
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On fine matrix representations of nilpotent operators

Acta Mathematica Sinica, 1985
Let H be a complex Hilbert space and A be a nilpotent operator of order n. Put \(H_ k=\ker A^{k+1}\Theta \ker A^ k\), \(P_ k=P_{H_ k}\), \(A_ k=P_ kAP_{k+1}\).
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Matrix representability of nilpotent products of groups

Mathematical Notes of the Academy of Sciences of the USSR, 1973
Necessary and sufficient conditions are determined for the matrix representability over a field of zero characteristic of the second nilpotent product of arbitrary matrix groups and of an arbitrary nilpotent product of Abelian matrix groups.
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Two Matrix Theorems Arising from Nilpotent Groups

Algebra Colloquium
For a nilpotent group [Formula: see text] without [Formula: see text]-torsion, and [Formula: see text], [Formula: see text], if [Formula: see text] for a [Formula: see text]-number [Formula: see text], then [Formula: see text]; if [Formula: see text] for [Formula: see text]-numbers [Formula: see text], [Formula: see text], then [Formula: see text ...
Jing Zhao, Heguo Liu
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Real Neutrosophic Matrix and Real Nilpotent Neutrosophic Matrix

Annals of Pure and Applied Mathematics
Real neutrosophic nilpotent matrices are a special class of matrices characterized by their neutrosophic components, which quantify the indeterminacy in their elements. This paper explores the properties and important results related to real neutrosophic nilpotent matrices.
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