Results 221 to 229 of about 83,698 (229)

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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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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IMBEDDING OF ALGEBRAS IN ALGEBRAS OF TRIANGULAR MATRICES

Mathematics of the USSR-Sbornik, 1980
It is proved in the paper that an algebra which satisfies identities of the form ??is imbeddable in the algebra of triangular matrices over a commutative algebra . This permits us to answer both the question due to L. Small concerning the imbeddability of an arbitrary nilpotent algebra in a matrix algebra over a commutative algebra and the question ...
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ON LIE DERIVATIONS OF TRIANGULAR ALGEBRAS

Rocky Mountain Journal of Mathematics
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Liu, Lei, Li, Kaipeng
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$��$-Mappings of triangular algebras

2013
Let $A$ be an algebra and $ $ an automorphism of $A$. A linear map $d$ of $A$ is called a $ $-derivation of $A$ if $d(xy) = d(x)y + (x)d(y)$, for all $x, y \in A$. A linear map $D$ is said to be a generalized $ $-derivation of $A$ if there exists a $ $-derivation $d$ of $A$ such that $D(xy) = D(x)y + (x)d(y)$, for all $x, y \in A$.
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On the Closure of Triangular Algebras

American Journal of Mathematics, 1990
The author constructs triangular algebras in the hyperfinite \(II_ 1\) factor and in \(B(H)\) whose norm closures are not triangular. These examples answer the question about triangular algebras in the negative.
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Triangular Algebras

1988
Murray Gerstenhaber, Samuel D. Schack
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Irreducible triangular algebras

Memoirs of the American Mathematical Society, 1984
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Some Results on Triangular Operator Algebras

American Journal of Mathematics, 1967
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