Join-principally generated multiplicative lattices (Q798684)
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scientific article; zbMATH DE number 3871433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Join-principally generated multiplicative lattices |
scientific article; zbMATH DE number 3871433 |
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Join-principally generated multiplicative lattices (English)
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1984
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The paper deals with a multiplicative complete modular lattice which is a generalization of the classical ideal theory. It investigates the relationships between the various notions of ''principal'', the chain conditions, compactness assumptions, primary decompositions, the Principal Ideal Theorem and the Intersection Theorem.
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multiplicative complete modular lattice
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chain conditions
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primary decompositions
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Principal Ideal Theorem
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Intersection Theorem
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