Results 31 to 40 of about 569 (49)

Conservative algebras of $2$-dimensional algebras, II

, 2015
In 1990 Kantor defined the conservative algebra $W(n)$ of all algebras (i.e. bilinear maps) on the $n$-dimensional vector space. If $n>1$, then the algebra $W(n)$ does not belong to any well-known class of algebras (such as associative, Lie, Jordan, or ...
Kaygorodov, Ivan, Volkov, Yury
core   +1 more source

Bilinear characterizations of companion matrices

Special Matrices, 2014
Companion matrices of the second type are characterized by properties that involve bilinear maps.
Lin Minghua, Wimmer Harald K.
doaj   +1 more source

Maximal contractive tuples

, 2013
Maximality of a contractive tuple of operators is considered. Characterization of a contractive tuple to be maximal is obtained. Notion of maximality of a submodule of Drury-Arveson module on the $d$-dimensional unit ball $\mathbb{B}_d$ is defined.
Das, B. Krishna, Sarkar, Jaydeb, Sarkar, Santanu   +2 more
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Minor-closed classes of binary functions [PDF]

Discrete Mathematics & Theoretical Computer Science
Binary functions are a generalisation of the cocircuit spaces of binary matroids to arbitrary functions. Every rank function is assigned a binary function, and the deletion and contraction operations of binary functions generalise matroid deletion and ...
Benjamin R. Jones
doaj   +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

On the dimension of the algebraic sum of subspaces

Open Mathematics
We provide a recursive formula for the dimension of the algebraic sum of finitely many subspaces in a finite-dimensional vector space over an arbitrary field.
Makrides Gregoris, Szemberg Tomasz
doaj   +1 more source

Families of graphs with maximum nullity equal to zero forcing number

Special Matrices, 2018
The maximum nullity of a simple graph G, denoted M(G), is the largest possible nullity over all symmetric real matrices whose ijth entry is nonzero exactly when fi, jg is an edge in G for i =6 j, and the iith entry is any real number.
Alameda Joseph S., Curl Emelie, Grez Armando, Hogben Leslie, Kingston O’Neill, Schulte Alex, Young Derek, Young Michael   +7 more
doaj   +1 more source

Singular matrices possessing the triangle property

Special Matrices
It is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the ...
Priya K. Kranthi, Sivakumar K. C.
doaj   +1 more source

On linear codes with random multiplier vectors and the maximum trace dimension property

Journal of Mathematical Cryptology
Let CC be a linear code of length nn and dimension kk over the finite field Fqm{{\mathbb{F}}}_{{q}^{m}}. The trace code Tr(C){\rm{Tr}}\left(C) is a linear code of the same length nn over the subfield Fq{{\mathbb{F}}}_{q}.
Erdélyi Márton, Hegedüs Pál, Kiss Sándor Z., Nagy Gábor P.   +3 more
doaj   +1 more source

Linear series on ribbons

, 2009
A ribbon is a double structure on P^1. The geometry of a ribbon is closely related to that of a smooth curve. In this note we consider linear series on ribbons.
Chen, Dawei
core   +1 more source