Պահպանված է:
| Հիմնական հեղինակներ: | , |
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| Ձևաչափ: | Preprint |
| Հրապարակվել է: |
2013
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| Խորագրեր: | |
| Առցանց հասանելիություն: | https://arxiv.org/abs/1304.0091 |
| Ցուցիչներ: |
Ավելացրեք ցուցիչ
Չկան պիտակներ, Եղեք առաջինը, ով նշում է այս գրառումը!
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| _version_ | 1866929239209541632 |
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| author | Blunck, Andrea Havlicek, Hans |
| author_facet | Blunck, Andrea Havlicek, Hans |
| contents | We introduce the chain geometry $Σ(K,R)$ over a ring $R$ with a distinguished subfield $K$, thus extending the usual concept where $R$ has to be an algebra over $K$. A chain is uniquely determined by three of its points, if, and only if, the multiplicative group of $K$ is normal in the group of units of $R$. This condition is not equivalent to $R$ being a $K$-algebra. The chains through a fixed point fall into compatibility classes which allow to describe the residue at a point in terms of a family of affine spaces with a common set of points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_0091 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Extending the Concept of Chain Geometry Blunck, Andrea Havlicek, Hans Algebraic Geometry Rings and Algebras 51B05 51C05 We introduce the chain geometry $Σ(K,R)$ over a ring $R$ with a distinguished subfield $K$, thus extending the usual concept where $R$ has to be an algebra over $K$. A chain is uniquely determined by three of its points, if, and only if, the multiplicative group of $K$ is normal in the group of units of $R$. This condition is not equivalent to $R$ being a $K$-algebra. The chains through a fixed point fall into compatibility classes which allow to describe the residue at a point in terms of a family of affine spaces with a common set of points. |
| title | Extending the Concept of Chain Geometry |
| topic | Algebraic Geometry Rings and Algebras 51B05 51C05 |
| url | https://arxiv.org/abs/1304.0091 |