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Frobenius and Quasi-Frobenius Rings

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Exercises in Modules and Rings

Part of the book series: Problem Books in Mathematics ((PBM))

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Abstract

A quasi-Frobenius (or QF) ring is a ring R that is right injective and right (or equivalently, left) noetherian. Such a ring is always 2-sided artinian and 2-sided injective. In particular, “QF” is a left-right symmetric condition.

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© 2007 Springer Science+Business Media, LLC

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Lam, T.Y. (2007). Frobenius and Quasi-Frobenius Rings. In: Exercises in Modules and Rings. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-48899-8_6

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