DC pole | Wartość | Język |
dc.contributor.author | Banakh, Taras | - |
dc.contributor.author | Kholyavka, Yaroslav | - |
dc.contributor.author | Potyatynyk, Oles | - |
dc.contributor.author | Machura, Michał | - |
dc.contributor.author | Kuhlmann, Katarzyna | - |
dc.date.accessioned | 2019-04-16T10:46:34Z | - |
dc.date.available | 2019-04-16T10:46:34Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Central European Journal of Mathematics, Vol. 12, iss. 8, (2014), s. 1239-1248 | pl_PL |
dc.identifier.issn | 1895-1074 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/8866 | - |
dc.description.abstract | We prove that for every n ∈ ℕ the space M(K(x 1,..., x n) of ℝ-places of the field K(x 1,..., x n) of rational functions of n variables with coefficients in a totally Archimedean field K has the topological covering dimension dimM(K(x 1,..., x n)) ≤ n. For n = 2 the space M(K(x 1, x 2)) has covering and integral dimensions dimM(K(x 1, x 2)) = dimℤ M(K(x 1, x 2)) = 2 and the cohomological dimension dimG M(K(x 1, x 2)) = 1 for any Abelian 2-divisible coefficient group G. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.subject | space of R-places | pl_PL |
dc.subject | graphoid | pl_PL |
dc.subject | dimension | pl_PL |
dc.subject | cohomological dimension | pl_PL |
dc.subject | extension dimension | pl_PL |
dc.title | On the dimension of the space of R-places of certain rational function fields | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.identifier.doi | 10.2478/s11533-014-0409-y | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
|