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A SUPER-CLASS WALK ON UPPER-TRIANGULAR MATRICES。
Abstract: Let $A$ be a finite dimensional hereditary algebra over an algebraically closed field $k$, $T_2(A)=(\begin{array}{cc}A&0 A&A\end{array})$ be the triangular matrix algebra and $A^{(1)}=(\begi...
Abstract: Let ${\mathcal{T}}$ be a triangular algebra. We say that $D=\{D_{n}: n\in N\}\subseteq L({\mathcal{T}})$ is a Jordan higher derivable mapping at $G$ if $D_{n}(ST+TS)=\sum_{i+j=n}(D_{i}(S)D_{...
Abstract: In this note we discover and prove some interesting and important relations among sub-matrices of Sylvester matrices and triangular toeplitz matrices. The main result is Hill's identity disc...
Abstract: n [D. de Caen, E.R. van Dam. Fissioned triangular schemes via the cross-ratio, {Europ. J. Combin.}, 22 (2001) 297-301], de Caen and van Dam constructed a fission scheme $\FT(q+1)$ of the tri...
In this paper, we obtain the counting formulaes of convex pentagons and convex hexagons, respectively, in an n-triangular net by solving the corresponding recursive formulaes.
Using the structure of algebroid of block-upper-triangular matri-ces composed from blocks of size m×m we obtain the Poisson brackets on the entries of these matrices and construct the braid-group acti...
Let g be a Kac-Moody algebra. We show that every ho-mogeneous right coideal subalgebra U of the multiparameter version of the quantized universal enveloping algebra Uq(g), qm 6= 1 containing all group...
In this paper we obtain the central limit theorem for triangular arrays of non-homogeneous Markov chains under a condition imposed to the maximal coefficient of correlation. The proofs are based on ma...
This paper studies the prime spectrum of two tensor triangulated categories.Triangulated categories have been one of the most influential objects in mathematics.Introduced by Grothendeick and Verdier ...
Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A and B be upper triangular n-by-n matrices that (i) are not similar to...
For any integer x, let Tx denote the triangular number x(x+1)2 .In this paper we give a omplete characterization of all the triples of positive integers ( , , ) for which the ternary sums x2+ Ty + T...
A class of non-factorable positive operators is constructed. As a result,pure existence theorems in the well-known problems by Ringrose,Kadison and Singer are substituted by concrete examples.
Let G = (V,E) be a graph with p vertices an q edges. A graph G is said to admit a triangular sum labeling if its vertices can be labeled by non-negative integers such that induced edge labels obtained...
We consider the computational problem of isolating all the real zeros of a zero-dimensional triangular polynomial system Fn μZ[x1xn]. We present a complete numerical algorithm for this problem. Our sy...

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