K-Primitivity and images of primitive elements

Autor:	Naime Ekici, Nazar Sahin Oguslu
Přispěvatelé:	Çukurova Üniversitesi
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Free Lie algebras Pure mathematics primitive elements Algebra and Number Theory Endomorphism Computer Science::Information Retrieval Applied Mathematics 010102 general mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) 02 engineering and technology Automorphism 01 natural sciences 020303 mechanical engineering & transports 0203 mechanical engineering Computer Science::General Literature Rank (graph theory) Primitive element 0101 mathematics Free Lie algebra Mathematics primitive systems
Popis:	Let [Formula: see text] be a free Lie algebra of finite rank [Formula: see text] [Formula: see text]. We give another proof of the following criterion which is proven by Mikhalev and Zolotykh, using the idea of [Formula: see text]-primitivity: An endomorphism of [Formula: see text] preserving primitivity of elements is an automorphism.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0db795ce822adcf9d1ebb0950608f6b4 https://hdl.handle.net/20.500.12605/16909 Zobrazit plný text záznamu