The images of polynomials of derivations

Autor:	Tsiu-Kwen Lee, Münevver Pınar Eroǧlu
Rok vydání:	2016
Předmět:	Reduced ring Principal ideal ring Ring (mathematics) Algebra and Number Theory 010102 general mathematics Ore extension Boolean ring 01 natural sciences Combinatorics Localization of a ring Simple ring 0103 physical sciences Prime ring 010307 mathematical physics 0101 mathematics Mathematics
Zdroj:	Communications in Algebra. 45:4550-4556
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927872.2016.1271422
Popis:	Let R be a simple GPI-ring (i.e., a simple ring satisfying a nontrivial generalized polynomial identity) with a nonzero derivation delta and with Martindale symmetric ring of quotients Q. Motivated by the Noether-Skolem theorem, we characterize linear differential maps phi: x bar right arrow Sigma(i,j) a(ij)delta(j) (X) b(ij) for x is an element of R, where a(ij),b(ij) are finitely many elements in Q, such that phi(R) subset of [R,R]. The result is described and proved in terms of polynomials in Q[t;delta], the Ore extension of Q by the derivation delta.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13f8f896032a36a6afe32e8c690822eb https://doi.org/10.1080/00927872.2016.1271422 Zobrazit plný text záznamu