Fundamental Theorem of Finite Dimensional ₂-Graded Associative Algebras

摘要

In this article, we give an extension of the Fundamental Theorem of finite dimensional algebras to the case of ₂-graded algebras. Essentially, the results are the same as in the classical case, except that the notion of a ₂-graded division algebra needs to be modified. We classify all finite dimensional ₂-graded division algebras over and .View full textDownload full textKey WordsAssociative algebras, Graded algebras2000 Mathematics Subject Classification16B50, 17A70Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2011.602162