Uniqueness of primary decompositions in Laskerian le-modules (Q2317446)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of primary decompositions in Laskerian le-modules |
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Uniqueness of primary decompositions in Laskerian le-modules (English)
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9 August 2019
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An le-module $M$ over a commutative ring $R$ is a complete lattice ordered monoid $(M,+,\leqslant, e)$ with greatest element $e$ and module like action of $R$ on it. Such an $R$-module is called Laskerian if each submodule is a finite intersection of primary submodules. Theorems on primary decompositions of element of such modules are proved.
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module
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primary decomposition
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Laskerian module
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le-module
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submodule element
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