Results 11 to 20 of about 1,189 (299)
Biderivations of triangular algebras
Linear Algebra and its Applications, 2009 Let \(C\) be a commutative ring with identity. A `triangular algebra' is every algebra of the form \[ \mathcal A=\text{Tri}(A,M,B) = \begin{pmatrix} A&M \\ 0&B\end{pmatrix}, \] where \(A\) and \(B\) are unital algebras over \(C\) and \(M\) is an \((A,B)\)-bimodule which is faithful as a left \(A\)-module as well as a right \(B\)-module.
Benkovič, Dominik
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Semisimple Triangular AF Algebras
Journal of Functional Analysis, 1993 Necessary and sufficient conditions for a triangular AF algebra to be semisimple are given. In particular, a triangular AF algebra which can be written using the standard embedding infinitely often is semisimple; also a semisimple triangular AF algebra is given which does not have a presentation of this form. If two triangular AF algebras have the same
Donsig, A.P.
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Additivity of maps on triangular algebras
The Electronic Journal of Linear Algebra, 2008 11 ...
Cheng, Xuehan, Jing, Wu
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Primitive Triangular UHF Algebras
Journal of Functional Analysis, 1998 The authors prove that a large class of triangular UHF algebras are primitive. There are cases where explicitly they give a faithful algebraically irreducible representation of the algebra on a separable Hilbert space. For other cases they follow an indirect way studying the prime ideal structure of the algebra. From this they obtain a characterization
Hudson, T.D, Katsoulis, E.G
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Triangular norm-based intuitionistic fuzzy BE-algebras and filters [PDF]
Notes on IFSIn this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail,
Sinem Tarsuslu (Yılmaz)
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The Electronic Journal of Linear Algebra, 2014 The structure of graded triangular algebras T of arbitrary dimension are studied in this paper. This is motivated in part for the important role that triangular algebras play in the study of oriented graphs, upper triangular matrix algebras or nest algebras.
Calderón Martín, Antonio +1 more
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Journal of Functional Analysis, 1990 AbstractIn this paper we classify triangular UHF algebras. The generic triangular UHF algebra is constructed as follows. Let (pn) be any sequence of positive integers such that pm|pn whenever m ⩽ n. For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d ...
Baker, Richard L
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On Derivations of Certain Algebras Related to Irreducible Triangular Algebras [PDF]
Transactions of the American Mathematical Society, 1983 This paper deals with derivations on algebras that are generated by a maximal abelian selfadjoint algebra of operators A \mathcal {A}
Baruch Solel
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k-Commuting maps on triangular algebras
Linear Algebra and its Applications, 2012 In this paper, \(k\)-commuting maps on certain triangular algebras are determined. As an application it is shown that every \(k\)-commuting map on an upper triangular matrix algebra over a unital commutative ring of 2-torsion free or a nest algebra is proper.
Du, Yiqiu, Wang, Yu
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Nonlinear Lie derivations of triangular algebras
Linear Algebra and its Applications, 2010 Let \(\mathcal A\) be an algebra over a commutative ring \(\mathcal R\). A map \(\delta\colon\mathcal A\to\mathcal A\) is called an additive derivation if it is additive and satisfies \(\delta(xy)=\delta(x)y+x\delta(y)\) for all \(x,y\in\mathcal A\). If there exists an element \(a\in\mathcal A\) such that \(\delta(x)=[x,a]\) for all \(x\in\mathcal A\),
Yu, Weiyan, Zhang, Jianhua
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