Class group of cohomologically trivial modules and cyclotomic ideals
T. Nakayama (1964)
Acta Arithmetica
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Class group of cohomologically trivial modules and cyclotomic ideals
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Let be a class or R-modules containing 0 and closed under isomorphic images. With any such we associate three classes Γ, F and Δ. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.