Faith, Carl Algebra: rings, modules, and categories. I. Corr. reprint. (English) Zbl 0508.16001 Grundlehren der mathematischen Wissenschaften, 190. Berlin-Heidelberg-New York: Springer-Verlag. XXV, 571 p. DM 98.00; $ 44.60 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 45 Documents MSC: 16-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras 16P40 Noetherian rings and modules (associative rings and algebras) 16B50 Category-theoretic methods and results in associative algebras (except as in 16D90) 16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) Keywords:abelian categories; semiprime Noetherian rings; simple Noetherian rings; equivalence of module categories; Artin-Wedderburn theorem; tensor products; division rings Citations:Zbl 0266.16001 PDFBibTeX XML