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Paper IPM / M / 18026 | ||||||||||||||||||||||
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Abstract: | ||||||||||||||||||||||
We study the Auslander ring of a basic left Kothe ring L and give a characterization of basic left Kothe rings in terms of their Auslander rings. We also study the functor category
Mod((L-mod)op) and characterize basic left Kothe rings L by using functor categoriesMod((L-mod)op). As a consequence we show that there exists a bijection between the Morita equivalence classes of left Kawada rings and the Morita equivalence classes of Auslander generalized right QF-2 rings.
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