Splitting criteria for modular lattices

Hostinsky, L. Aileen

doi:10.1090/S0002-9939-1960-0114776-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Splitting criteria for modular lattices
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by L. Aileen Hostinsky

Proc. Amer. Math. Soc. 11 (1960), 23-28

DOI: https://doi.org/10.1090/S0002-9939-1960-0114776-9

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References

Reinhold Baer and Christine Williams, Splitting criteria and extension types, Bull. Amer. Math. Soc. 55 (1949), 729–743. MR 32635, DOI 10.1090/S0002-9904-1949-09272-8
L. Aileen Hostinsky, Endomorphisms of lattices, Duke Math. J. 18 (1951), 331–342. MR 41103
L. Aileen Hostinsky, Direct decompositions in lattices, Amer. J. Math. 73 (1951), 741–755. MR 45088, DOI 10.2307/2372113
L. Aileen Hostinsky, Loewy chains and uniform splitting of lattices, Proc. Amer. Math. Soc. 5 (1954), 315–319. MR 60469, DOI 10.1090/S0002-9939-1954-0060469-3