Autor:	Jianlong Chen, Yuedi Zeng
Rok vydání:	2010
Předmět:	Discrete mathematics Pure mathematics Algebra and Number Theory Functor Hilbert's syzygy theorem Primitive ring Injective function Mathematics Coherent ring
Zdroj:	Communications in Algebra. 38:3851-3867
ISSN:	1532-4125 0092-7872
Popis:	Let R be a ring, n a fixed non-negative integer and ℱ the class of all left R-modules of FP-injective dimensions at most n. It is proved that all left R-modules over a left coherent ring R have ℱ-preenvelopes and ℱ-covers. Left (right) ℱ-resolutions and the left derived functors of Hom are used to study the FP-injective dimensions of modules and rings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d74d0af4d3201f92cb1f02b1b6d4a9bc https://doi.org/10.1080/00927870903200851 Zobrazit plný text záznamu