Abstract
A ring R is said to be right steady provided finitely generated right R-modules coincide with the modules M such that Hom R (M,-) commutes with direct sums in Mod-R. Rejecting a conjecture claiming the opposite, we prove that for each cardinal n there is a left and right steady ring R κ ,such that R κ , contains a set of orthogonal idempotents of cardinality κ. We also give a full characterization of when a direct product of rings is steady.
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Dedicated to Professor László Fuchs on his 70th birthday
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© 1995 Springer Science+Business Media Dordrecht
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Trlifaj, J. (1995). Steady Rings May Contain Large Sets of Orthogonal Idempotents. In: Facchini, A., Menini, C. (eds) Abelian Groups and Modules. Mathematics and Its Applications, vol 343. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0443-2_37
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DOI: https://doi.org/10.1007/978-94-011-0443-2_37
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4198-0
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