Isomorphisms of Large Ideals of AW*-Algebras.
Sterling K. Berberian (1983)
Mathematische Zeitschrift
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Sterling K. Berberian (1983)
Mathematische Zeitschrift
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We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
Wend Werner (1991)
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Klaus Saatkamp (1978)
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Jan R. Strooker (1966)
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E. BINZ (1969)
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Given a quiver Q, a field K and two (not necessarily admissible) ideals I, I' in the path algebra KQ, we study the problem when the factor algebras KQ/I and KQ/I' of KQ are isomorphic. Sufficient conditions are given in case Q is a tree extension of a cycle.
Jean Ludwig (1979/80)
Manuscripta mathematica
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Melahat Almus, David P. Blecher, Charles John Read (2012)
Studia Mathematica
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This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach-algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (or HSA's, which are in some sense a generalization of ideals). Second, we study properties of operator algebras which are hereditary subalgebras in their bidual, or equivalently...