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Published in 2017 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-020-1971-6
Abstract: We consider compactness characterizations of large cardinals. Based on results of Benda [Ben78], we study compactness for omitting types in various logics. In $$\mathbb{L}$$ L κ,κ , this allows us to characterize any large cardinal…
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Keywords:
large cardinals;
compactness;
characterizations large;
theoretic characterizations ... See more keywords
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Published in 2017 at "Journal of Mathematics"
DOI: 10.1155/2017/2496246
Abstract: A module over an associative ring with unity is a -module if every finitely generated submodule of any homomorphic image of is a direct sum of uniserial modules. The study of large submodules and its…
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Keywords:
large submodules;
different characterizations;
characterizations large;
module ... See more keywords