POSETS ADMITTING THE LINEARITY OF ISOMETRIES

POSETS ADMITTING THE LINEARITY OF ISOMETRIES

In this paper, we deal with a characterization of the posets with the property that every poset isometry of Fn q fixing the origin is a linear map. We say such a poset to be admitting the linearity of isometries. We show that a poset P admits the linearity of isometries over Fn q if and only if P is...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2015, 52(3), , pp.999-1006
Hauptverfasser: Hyun, Jong Youn, Kim, Jeongjin, Kim, Sang-Mok
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung:In this paper, we deal with a characterization of the posets with the property that every poset isometry of Fn q fixing the origin is a linear map. We say such a poset to be admitting the linearity of isometries. We show that a poset P admits the linearity of isometries over Fn q if and only if P is a disjoint sum of chains of cardinality 2 or 1 when q = 2, or P is an anti-chain otherwise. KCI Citation Count: 1
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2015.52.3.999