On distant-isomorphisms of projective lines
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2013
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| _version_ | 1866911774274486272 |
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| author | Blunck, Andrea Havlicek, Hans |
| author_facet | Blunck, Andrea Havlicek, Hans |
| contents | We determine all distant-isomorphisms between projective lines over semilocal rings. In particular, for those semisimple rings that do not have a simple component which is isomorphic to a field, every distant isomorphism arises from a Jordan isomorphism of rings and a projectivity. We show this by virtue of a one-one correspondence linking the projective line over a semisimple ring with a Segre product of Grassmann spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_0226 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | On distant-isomorphisms of projective lines Blunck, Andrea Havlicek, Hans Algebraic Geometry Rings and Algebras 51C05, 51A10, 51A45, 17C50 We determine all distant-isomorphisms between projective lines over semilocal rings. In particular, for those semisimple rings that do not have a simple component which is isomorphic to a field, every distant isomorphism arises from a Jordan isomorphism of rings and a projectivity. We show this by virtue of a one-one correspondence linking the projective line over a semisimple ring with a Segre product of Grassmann spaces. |
| title | On distant-isomorphisms of projective lines |
| topic | Algebraic Geometry Rings and Algebras 51C05, 51A10, 51A45, 17C50 |
| url | https://arxiv.org/abs/1304.0226 |