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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 ...
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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).
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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
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Complete triangular structures and Lie algebras

International Journal of Computer Mathematics, 2011
In this paper, we study the families of n-dimensional Lie algebras associated with a combinatorial structure made up of n vertices and with its edges forming a complete simple, undirected graph. Moreover, some properties are characterized for these structures using Lie theory, giving some examples and representations.
Manuel Ceballos   +2 more
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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.
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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
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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
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Triangularization of algebras of operators

2020
ÖZET OPERATÖR CEBİRLERİNİN ÜÇGENSELLEŞTiRiLMESİ ERBENGi, Ersin Yüksek Lisans Tezi, Matematik Bölümü Tez Yöneticisi: Prof. Dr. Mehmet ORHON Haziran 1989, 34 sayfa Bu çalışmada bası operatöı- cebirlerinin ücgenselleştiril- mesi hakkında sonuçlar veriliyor, özellikle maksimal değişimli, kendine eşlenik bir alt cebir içeren operatör cebirlerinin ...
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Triangular Algebras

1988
Murray Gerstenhaber, Samuel D. Schack
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Lie Maps on Triangular Algebras Without Assuming Unity

Mediterranean Journal of Mathematics, 2021
Hoger Ghahramani
exaly  

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