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• W3120069884 abstract "If $Rsubseteq S$ is an extension of commutative rings, we consider the lattice $([R,S],subseteq)$ of all the $R$-subalgebras of $S$.&#x0D; We assume that the poset $[R,S]$ is both Artinian and Noetherian; that is, $Rsubseteq S$ is an FCP extension.&#x0D; The Loewy series of such lattices are studied. Most of main results are gotten in case these posets are distributive,&#x0D; which occurs for integrally closed extensions. In general, the situation is much more complicated. We give a discussion for finite field extensions." @default.
• W3120069884 created "2021-01-18" @default.
• W3120069884 creator A5007535256 @default.
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• W3120069884 date "2021-01-05" @default.
• W3120069884 modified "2023-10-16" @default.
• W3120069884 title "THE LOEWY SERIES OF AN FCP (DISTRIBUTIVE) RING EXTENSION" @default.
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• W3120069884 doi "https://doi.org/10.24330/ieja.851985" @default.
• W3120069884 hasPublicationYear "2021" @default.
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