# Sh:413

- Shelah, S. (2003).
*More Jonsson algebras*. Arch. Math. Logic,**42**(1), 1–44. arXiv: math/9809199 DOI: 10.1007/s001530100119 MR: 1953112 -
Abstract:

We prove that on many inaccessible there is a Jonsson algebra, so e.g. the first regular Jonsson cardinal \lambda is \lambda\times\omega-Mahlo. We give further restrictions on successor of singulars which are Jonsson cardinals. E.g. there is a Jonsson algebra of cardinality \beth^+_\omega. Lastly, we give further information on guessing of clubs. - published version (44p)

Bib entry

@article{Sh:413, author = {Shelah, Saharon}, title = {{More Jonsson algebras}}, journal = {Arch. Math. Logic}, fjournal = {Archive for Mathematical Logic}, volume = {42}, number = {1}, year = {2003}, pages = {1--44}, issn = {0933-5846}, doi = {10.1007/s001530100119}, mrclass = {03E55 (03E10)}, mrnumber = {1953112}, mrreviewer = {Ralf-Dieter Schindler}, doi = {10.1007/s001530100119}, note = {\href{https://arxiv.org/abs/math/9809199}{arXiv: math/9809199}}, arxiv_number = {math/9809199} }