Associated and weakly associated prime elements and primary decomposition in lattice modules (Q1089366)

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scientific article; zbMATH DE number 4004240
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Associated and weakly associated prime elements and primary decomposition in lattice modules
scientific article; zbMATH DE number 4004240

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    Associated and weakly associated prime elements and primary decomposition in lattice modules (English)
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    1988
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    This paper studies the set of associated prime elements and the set of weakly associated prime elements for a lattice module M over a multiplicative lattice L. This paper shows that many of the results for modules over commutative rings concerning nilpotent elements, zero- divisors, and primary decomposition carry over to suitably defined lattice modules.
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    weakly associated prime elements
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    multiplicative lattice
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    primary decomposition
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    lattice modules
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