The group of automorphisms of a distributively generated near ring

Autor:	J. J. Malone
Rok vydání:	1983
Předmět:	Mathematics::Group Theory Applied Mathematics General Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 88:11-15
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-1983-0691269-7
Popis:	S. D. Scott has shown that the group of automorphisms of the near ring generated by the automorphisms of a given group is isomorphic to the automorphism group of the given group if that group’s automorphism is complete. Here that theorem is generalized by showing that the group of automorphisms of a near ring distributively generated by its units is a subgroup of the group of automorphisms of the group of units. The results obtained are used to find the automorphism groups of certain near rings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0e931988e3049c49fd26fcd7147a8b84 https://doi.org/10.1090/s0002-9939-1983-0691269-7 Zobrazit plný text záznamu