Results 81 to 90 of about 886,706 (230)

Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra

Mathematics, 2020
The max-Łukasiewicz algebra describes fuzzy systems working in discrete time which are based on two binary operations: the maximum and the Łukasiewicz triangular norm.
Martin Gavalec, Zuzana Němcová
doaj   +1 more source

Gradings on the algebra of upper triangular matrices and their graded identities

, 2004
Let K be an infinite field and let UT n ( K ) denote the algebra of n × n upper triangular matrices over  K . We describe all elementary gradings on this algebra.
Onofrio M. Di, P. Koshlukov, A. Valenti, Sue Montgomery   +3 more
semanticscholar   +1 more source

Computing the stability boundaries for the lagrange triangular solutions in the elliptic restricted three‐body problem

Mathematical Modelling and Analysis, 2006
An algorithm is proposed for analytical computing the stability boundaries of the Lagrange triangular solutions in the elliptic restricted three‐body problem. It is based on the infinite determinant method. The algorithm has been implemented by using the
A. N. Prokopenya
doaj   +1 more source

Generalized Jordan N-Derivations of Unital Algebras with Idempotents

Journal of Mathematics, 2021
Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
doaj   +1 more source

Representation dimensions of triangular matrix algebras

Linear Algebra and its Applications, 2013
19 ...
Yin, Hongbo, Zhang, Shunhua
openaire   +3 more sources

Lie Derivations on Generalized Matrix Algebras by Local Actions

Axioms
Let G=G(A,B,M,N) be a generalized matrix algebra. A linear map Δ:G→G is called a Lie derivation at E∈G if Δ([U,V])=[Δ(U),V]+[U,Δ(V)] for all pairs U,V∈G such that UV=E.
Jinhong Zhuang, Yanping Chen, Yijia Tan
doaj   +1 more source

Decomposition of Automorphisms of Certain Solvable Subalgebra of Symplectic Lie Algebra over Commutative Rings

International Journal of Mathematics and Mathematical Sciences, 2012
Let Cl+1(R) be the 2(l+1)×2(l+1) matrix symplectic Lie algebra over a commutative ring R with 2 invertible. Then tl+1CR  =  {m-1m-20-m-1T ∣ m̅1 is an l+1 upper triangular matrix, m̅2T=m̅2,  over  R} is the solvable subalgebra of Cl+1(R).
Xing Tao Wang, Lei Zhang
doaj   +1 more source

Jordan maps on triangular algebras

Linear Algebra and its Applications, 2007
For \(x,y\in R\), an associative ring, let \(x\circ y=xy+yx\). Given rings \(R\) and \(S\), maps \(f\colon R\to S\) and \(g\colon S\to R\) form a Jordan pair if for all \(x\in R\) and \(y\in S\), \(f(x\circ g(y))=f(x)\circ y\) and \(g(y\circ f(x))=g(y)\circ x\).
openaire   +2 more sources

A note on algebra automorphisms of triangular matrices over commutative rings

, 1990
It is shown that if R is a commutative ring with unity, then every R -algebra, automorphism of the algebra of upper triangular n × n matrices over R is inner.
T. Kezlan
semanticscholar   +1 more source

Cocharacters of upper triangular matrices [PDF]

International Journal of Group Theory, 2013
We survey some recent results on cocharacters of upper triangularmatrices. In particular, we deal both with ordinary and graded cocharactersequence; we list the principal combinatorial results; we show di erent tech-niques in order to solve similar ...
Lucio Centrone
doaj