A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
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| Creator |
Saniga, M.
Pracna, P. |
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| Description |
The Fano-Snowflake, a specific configuration associated with the smallest ring of ternions Rà (arXiv:0803.4436 and arXiv:0806.3153), admits an interesting partitioning with respect to the Jacobson radical of Rà. The totality of 21 free cyclic submodules generated by non-unimodular vectors of the free left Rà-module Rà³ is shown to split into three disjoint sets of cardinalities 9, 9 and 3 according as the number of Jacobson radical entries in the generating vector is 2, 1 or 0, respectively. The corresponding ''ternion-induced'' factorization of the lines of the Fano plane sitting in the middle of the Fano-Snowflake is found to differ fundamentally from the natural one, i.e., from that with respect to the Jacobson radical of the Galois field of two elements.
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| Date |
2019-02-19T12:55:50Z
2019-02-19T12:55:50Z 2008 |
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| Type |
Article
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| Identifier |
A Jacobson Radical Decomposition of the Fano-Snowflake Configuration / M. Saniga, P. Pracna // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 51C05; 51Exx http://dspace.nbuv.gov.ua/handle/123456789/149008 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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