Results 11 to 20 of about 148 (49)
Nonadditive strong commutativity preserving maps on rank–k matrices over division rings
, 2018 Let Mn(D) be the ring of all n× n matrices over a division ring D , where n 2 is an integer and let S be the set of all rank-k matrices in Mn(D) , where k is an integer with 1 k n .
Cheng–Kai Liu +2 more
semanticscholar +1 more source
Centralizers in endomorphism rings [PDF]
, 2009 We prove that the centralizer Cen(f) in Hom_R(M,M) of a nilpotent endomorphism f of a finitely generated semisimple left R-module M (over an arbitrary ring R) is the homomorphic image of the opposite of a certain Z(R)-subalgebra of the full m x m matrix ...
Drensky, Vesselin +2 more
core +2 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
wiley +1 more source
On relationships between two linear subspaces and two orthogonal projectors
Special Matrices, 2019 Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
doaj +1 more source
Generalizations of Bounds on the Index of Convergence to Weighted Digraphs [PDF]
, 2014 We study sequences of optimal walks of a growing length, in weighted digraphs, or equivalently, sequences of entries of max-algebraic matrix powers with growing exponents.
Merlet, Glenn +3 more
core +5 more sources
A note on additive commutativity-preserving mappings
Publicationes mathematicae (Debrecen), 2000 We characterize additive surjective commutativity-preserving mappings on Mn, n ≥ 2. The problem of characterizing linear transformations on Mn, the algebra of n× n complex matrices, that preserve some properties, has been considered in a number of papers.
T. Petek
semanticscholar +1 more source
A note on commutativity preserving maps on M_n(ℝ)
, 2018 Let Mn(F) be the set of all n× n matrices over a field F . Surjective maps which preserve the commutativity relation on Mn(F) only in one direction have been recently classified for the case when F is an algebraically closed field.
G. Dolinar, B. Kuzma, J. Marovt
semanticscholar +1 more source
Transfer maps and nonexistence of joint determinant [PDF]
, 2009 Transfer Maps, sometimes called norm maps, for Milnor's $K$-theory were first defined by Bass and Tate (1972) for simple extensions of fields via tame symbol and Weil's reciprocity law, but their functoriality had not been settled until Kato (1980).
Bass +9 more
core +3 more sources
Characterizing Jordan automorphisms of matrix algebras through preserving properties
, 2008 Let Mn be the algebra of all n × n complex matrices, n 3 . We prove that a map φ : Mn → Mn is a Jordan automorphism if and only if φ is a continuous spectrum and commutativity preserving map (no linearity is assumed). Examples are given showing that this
P. Šemrl
semanticscholar +1 more source
A note on simultaneously diagonalizable matrices
, 1998 Consider the functional f (U) = ∑n i=1 maxj{(UMjU)ii} over orthogonal matrices U , where the collection of n -byn symmetric matrices Mj are pairwise commutative, and thus simultaneously diagonalizable.
A. Berman, R. Plemmons
semanticscholar +1 more source