A generalization of Wedderburn’s theorem

Autor:	Adil Yaqub, D. L. Outcalt
Rok vydání:	1967
Předmět:	Discrete mathematics Wedderburn's little theorem Generalization Applied Mathematics General Mathematics Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 18:175-177
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-1967-0202759-6
Popis:	For, otherwise, there would be more than q distinct qth powers of elements of R, since x4y (mod J) implies Xq4yq (mod J). Now, let aCGJ and let bGIR. Then bq=b and hence bq-bCJ. Therefore, by (ii), we have (2) a(bq b) = 0, (bq b)a = 0 (a E J, b arbitrary). Again, let aE J. Since J2 =(0), by (ii), therefore (3) (ab + b)q = abq + babq-1 + b2abq-2 + + bq-lab + bq, (4) (ba + b)q = bqa + babq-1 + b2abq-2 + + bq-lab + bq
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::161585689cc647fd590a79fb7b48e164 https://doi.org/10.1090/s0002-9939-1967-0202759-6 Zobrazit plný text záznamu