Results 171 to 180 of about 931 (215)

A Maximality Criterion for Nilpotent Commutative Matrix Algebras [PDF]

open access: yesCanadian 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.
openaire   +3 more sources

ENUMERATION OF IDEALS OF SOME NILPOTENT MATRIX RINGS [PDF]

open access: yesJournal 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.   +2 more
openaire   +3 more sources

On the max-nilpotent t-norm powers of a fuzzy matrix

Fuzzy Sets and Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan-Kuen Wu   +2 more
exaly   +2 more sources

Matrix representability of nilpotent products of groups

Mathematical Notes, 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.
exaly   +3 more sources

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