Proceedings of the American Mathematical Society · 1972 · 11 citations · 6 references
Natural SciencesMathematicsAlgebraRepresentation TheoryAbstract AlgebraCommutative AlgebraLattice StructuresIdeal TheoryNoetherian RingsRepresentation Theory Of LatticesRing Lattices
In this paper we determine the structure of joinprincipal 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.
6
Donald A. Norton, Oscar Zariski · American Mathematical Monthly · 1959 · 877 citations
Abstract commutative ideal theory
R. P. Dilworth · Pacific Journal of Mathematics · 1962 · 157 citations · Full text
Representable distributive Noether lattices
Eric T. Johnson, J. P. Lediaev · Pacific Journal of Mathematics · 1969 · 52 citations · Full text