Results 271 to 280 of about 1,189 (299)

Commuting Maps of Triangular Algebras

Journal of the London Mathematical Society, 2001
We investigate commuting maps on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every commuting map \(L\) on such an algebra is of the form \(L(a)=ax+h(a)\), where \(x\) lies in the center of the algebra and \(h\) is a linear map from the algebra to its center.
openaire   +1 more source

Almost-triangular Hopf Algebras

Algebras and Representation Theory, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guohua, Zhu, Shenglin
openaire   +2 more sources

On triangular subalgebras of groupoidC*-algebras

Israel Journal of Mathematics, 1990
Let \({\mathfrak B}\) be a \(C^*\)-algebra with Stratile-Voiculescu masa \({\mathfrak D}\) and \({\mathfrak A}\) be a maximal triangular subalgebra of \({\mathfrak B}\) with diagonal \({\mathfrak D}\). In the article [\textit{J. R. Peters}, \textit{Y. T. Poon} and \textit{B. H. Wagner}, J. Oper.
Muhly, Paul S., Solel, Baruch
openaire   +2 more sources

Cohomology of the triangular algebra and applications

2003
Let \(K\) be a commutative ring, \(A\) and \(B\) be two associative and unitary \(K\)-algebras and \(M\) be an \((A\otimes B^o)\)-module. We suppose \(A\), \(B\) and \(M\) \(K\)-projective. The triangular algebra associated to this triple \(A\), \(B\) and \(M\) is the \(K\)-module \(T=\left(\begin{smallmatrix} A&M\\ 0&B\end{smallmatrix}\right)\) with ...
Bendiffalah, B., Guin, D.
openaire   +2 more sources

Ideals in Triangular Af Algebras

Proceedings of the London Mathematical Society, 1994
An ideal \(\mathcal J\) is said to be join-irreducible if whenever \({\mathcal J}= {\mathcal F}\lor {\mathcal G}\) for ideals \(\mathcal F\) and \(\mathcal G\), then either \({\mathcal F}= {\mathcal J}\) or \({\mathcal G}= {\mathcal J}\). We study the class of join- irreducible ideals in those strongly maximal triangular UHF algebras which arise as ...
openaire   +2 more sources

Identities of an algebra of triangular matrices

Journal of Soviet Mathematics, 1984
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 114, 7-27 (Russian) (1982; Zbl 0498.16013).
openaire   +2 more sources

ON LIE DERIVATIONS OF TRIANGULAR ALGEBRAS

Rocky Mountain Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Lei, Li, Kaipeng
openaire   +1 more source

Tame Triangular Matrix Algebras Over Nakayama Algebras

Journal of the London Mathematical Society, 1986
Recall that each basic finite dimensional algebra A over an algebraically closed field k is a quotient of the path algebra \(kQ_ A\) of the finite quiver \((=\) oriented graph) \(Q_ A\) associated to A, modulo a certain ideal I contained in \(J^ 2\), where J is the Jacobson radical of A.
openaire   +2 more sources

STRONGLY MAXIMAL TRIANGULAR AF ALGEBRAS

International Journal of Mathematics, 1991
We consider strongly maximal triangular subalgebras of AF algebras. These are the triangular algebras [Formula: see text] such that [Formula: see text] is dense in the ambient AF algebra. We prove that every isometric isomorphism between two strongly maximal triangular subalgebras of the AF algebra [Formula: see text] factors as the composition of two
openaire   +1 more source

Triangular Decomposition for Algebraic and Geometric Computing

2008 10th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2008
In this talk, we present several algorithms for decomposing systems of multivariate polynomials into triangular systems of various kinds. The algorithms have been efficiently implemented and successfully applied to numerous problems of scientific computing, ranging over computational polynomial algebra, automated geometric reasoning, solving systems of
openaire   +1 more source