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- W3148708051 abstract "Let V be a left vector space over the division ring D and let dim DV = . Let (Sub V;) and (Sub V; +) denote the meet-semilattice and join-semilattice of the subspaces of V , respectively. We prove that for nite (Sub V;) embeds into (Sub V; +) if and only if D embeds into D op . We show that the similar statement holds for every innite if and only if it holds for = @0. For vector spaces over elds we obtain that (Sub V;) always embeds into (Sub V; +)." @default.
- W3148708051 created "2021-04-13" @default.
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- W3148708051 date "2009-01-01" @default.
- W3148708051 modified "2023-09-27" @default.
- W3148708051 title "EMBEDDING SEMILATTICES OF SUBSPACES OF VECTOR SPACES" @default.
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