Hereditary Noetherian Prime Rings 1. Integrality and Simple Modules

Autor:	J.Chris Robson, Lawrence S. Levy
Jazyk:	angličtina
Předmět:	Discrete mathematics Pure mathematics Noncommutative ring Algebra and Number Theory projective module HNP Local ring Dedekind domain Hereditary ring Associated prime Prime ring integral extension Projective module uniserial module hereditary ring Quotient ring Mathematics
Zdroj:	Journal of Algebra. (2):307-337
ISSN:	0021-8693
DOI:	10.1006/jabr.1999.7884
Popis:	This is the first of three papers that aim to bring the known theory of projective modules over a hereditary Noetherian prime ring R up to roughly the same level as the well-known commutative case, where R is a Dedekind domain. This first paper lays the foundations by introducing the notion of an integral extension S of R in the Goldie quotient ring of R, and elucidating the relationship between integrality and the R-module structure of simple S-modules.
Databáze:	OpenAIRE
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