Hereditary Noetherian Prime Rings 2. Finitely Generated Projective Modules

Autor:	Lawrence S. Levy, J.Chris Robson
Rok vydání:	1999
Předmět:	Noetherian Discrete mathematics Pure mathematics Algebra and Number Theory HNP Dimension (graph theory) genus Prime (order theory) cancellation Global dimension Associated prime Prime ring projective Projective space Isomorphism class invariants hereditary Mathematics
Zdroj:	Journal of Algebra. 218(2):338-372
ISSN:	0021-8693
DOI:	10.1006/jabr.1999.7885
Popis:	Let R be a hereditary Noetherian prime ring. We determine a full set of invariants for the isomorphism class of any finitely generated projective R -module of uniform dimension at least 2. In particular we prove that P ⊕ X ≅ Q ⊕ X implies P ≅ Q whenever P has uniform dimension at least 2. Among the applications of these results are necessary and sufficient conditions for the existence of a bound to the number of generators needed for right ideals of R .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::efcd9bc4c6f7533f008464c79be5cde8 Zobrazit plný text záznamu Full Text from ScienceDirect