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- W2135144411 abstract "Let V be a left vector space over the division ring D and let dim D V = κ . Let (Sub V ; ∩) and (Sub V ; +) denote the meet-semilattice and join-semilattice of the subspaces of V , respectively. We prove that for κ finite (Sub V ; ∩) embeds into (Sub V ; +) if and only if D embeds into D op . We show that the similar statement holds for every infinite κ if and only if it holds for κ = ℵ 0 . For vector spaces over fields we obtain that (Sub V ; ∩) always embeds into (Sub V ; +)." @default.
- W2135144411 created "2016-06-24" @default.
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- W2135144411 date "2011-03-01" @default.
- W2135144411 modified "2023-09-27" @default.
- W2135144411 title "Embedding semilattices of subspaces of vector spaces" @default.
- W2135144411 cites W2048487146 @default.
- W2135144411 doi "https://doi.org/10.1556/sscmath.2009.1153" @default.
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