Join-principal elements in Noether lattices

Johnson, E. W.; Lediaev, J. P.

doi:10.1090/S0002-9939-1972-0306174-8

Join-principal elements in Noether lattices
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by E. W. Johnson and J. P. Lediaev

Proc. Amer. Math. Soc. 36 (1972), 73-78

DOI: https://doi.org/10.1090/S0002-9939-1972-0306174-8

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Abstract:

In this paper we determine the structure of join-principal elements in Noether lattices and we apply these results to obtain the Krull Principal Ideal Theorem for join-principal elements, a representation theorem for a class of Noether lattices, and some interesting ring results.

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