Primary decompositions in lattices (Q1338947)
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scientific article; zbMATH DE number 695406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Primary decompositions in lattices |
scientific article; zbMATH DE number 695406 |
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Primary decompositions in lattices (English)
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2 July 1995
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A general definition of primary theory for semilattices is given which generalizes all known decompositions in noncommutative rings and multiplicative lattices. It is proved that there exist minimal primary decompositions. The author gives a new notion of radicals for semilattices, which have properties similar to the nilpotent radicals of commutative rings.
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primary theory
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semilattices
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minimal primary decompositions
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radicals
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