NDLI: Jacobson radical of filtered algebras

Content Provider	Semantic Scholar
Author	Behr, Erazm Jerzy
Copyright Year	1986
Abstract	Using elementary graded ring theory methods we show that the Jacobson radical of certain filtered algebras is zero. We then use this to propose a simpler and more general proof of one of the main results contained in (1). Throughout this note, K will be a commutative ring with 1. An algebra A will mean a K-module equipped with an associative multiplication, whose identity element is 1 E K. A is a filtered algebra if there is an ascending chain of K-submodules of A,
Starting Page	545
Ending Page	546
Page Count	2
File Format	PDF HTM / HTML
DOI	10.1090/S0002-9939-1986-0861746-7
Volume Number	98
Alternate Webpage(s)	http://www.ams.org/journals/proc/1986-098-04/S0002-9939-1986-0861746-7/S0002-9939-1986-0861746-7.pdf
Alternate Webpage(s)	https://doi.org/10.1090/S0002-9939-1986-0861746-7
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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