There are Jonsson algebras in many inaccessible cardinals. Shelah, S. In Cardinal Arithmetic, volume 29, of Oxford Logic Guides. Oxford University Press, 1994.
bibtex   
@incollection{Sh:365,
author = {Shelah, Saharon},
booktitle = {Cardinal Arithmetic},	refers_to = {g},	refers_text = {Ch.
 III of},	public_list = {partof},
fromwhere = {IL},
publisher = {Oxford University Press},
series = {Oxford Logic Guides},
title = {{There are Jonsson algebras in many inaccessible cardinals}},
volume = {29},	general_editor = {General Editors: Dov M. Gabbay, Angus
 Macintyre, Dana Scott},
year = {1994},
}
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