λ-satisfiability, λ-consistency property, the downward Lowenheim Skolem theorem, and the failure of the interpolation theorem for L k,k with k a strong limit cardinal of cofinality λ
Rendiconti del Seminario Matematico della Università di Padova, Tome 80 (1988), pp. 1-16 
@article{RSMUP_1988__80__1_0,
     author = {Ferro, Ruggero},
     title = {$\lambda $-satisfiability, $\lambda $-consistency property, the downward {Lowenheim} {Skolem} theorem, and the failure of the interpolation theorem for $L_{k,k}$ with $k$ a strong limit cardinal of cofinality $\lambda $},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--16},
     year = {1988},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {80},
     zbl = {0691.03021},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1988__80__1_0/}
}
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Ferro, Ruggero. $\lambda $-satisfiability, $\lambda $-consistency property, the downward Lowenheim Skolem theorem, and the failure of the interpolation theorem for $L_{k,k}$ with $k$ a strong limit cardinal of cofinality $\lambda $. Rendiconti del Seminario Matematico della Università di Padova, Tome 80 (1988), pp. 1-16. https://www.numdam.org/item/RSMUP_1988__80__1_0/

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