Isomorphisms of Large Ideals of AW*-Algebras.
Sterling K. Berberian (1983)
Mathematische Zeitschrift
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Sterling K. Berberian (1983)
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W. Żelazko (2005)
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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.
V. Losert, E. Kotzmann, H. Rindler (1979)
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Yngve Domar (1972)
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A. Simis, J.F. Andrade (1981)
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Luca Chiantini (1981)
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John A. Beachy (1981)
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Mitsuhiro Takeuchi (1972)
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Ngo Viet Trung (1996)
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Stanisław Kasjan, Maja Sędłak (2008)
Colloquium Mathematicae
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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.
W. Żelazko (1974)
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S.D. Chatterji (1971)
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C. Huneke, A. Corso, W. Vasconcelos (1998)
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Harvey Wolff (1975)
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Michael Leinert (1975)
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Michael Leinert (1973)
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W. Żelazko (2004)
Studia Mathematica
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We prove that a real or complex unital F-algebra is a Q-algebra if and only if all its maximal one-sided ideals are closed.