ISOMORPHISM OF QF ALGEBRAS OVER ℚ
| Autor: | R. Furutani, H. Yoshimura, Isao Kikumasa |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Journal of Algebra and Its Applications. 12:1250166 |
| ISSN: | 1793-6829 0219-4988 |
| DOI: | 10.1142/s0219498812501666 |
| Popis: | We show that the local–global principle (Hasse principle) holds for isomorphisms between commutative local QF algebras over ℚ of dimension five with radical cubed zero, and obtain a criterion for them to be isomorphic by the Hilbert symbol or the Legendre symbol. As a consequence, we give the isomorphism classes of some type of local algebras over ℚ by using a factor group of ℚ*. |
| Databáze: | OpenAIRE |
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