Phantom maps in the stable module category

DOI10.1006/jabr.1997.7303zbMath0910.20001OpenAlexW2047716057MaRDI QIDQ1270371

Gilles Ph. Gnacadja

Publication date: 16 February 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7303

zbMATH Keywords

group algebrasfinite groupsprojective modulescategories of modulesphantom mapsstable module categoriesdirect sums of finitely generated modulesprojective maps

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Group rings (16S34) Homotopy groups, general; sets of homotopy classes (55Q05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homotopy theory (55P99)

Related Items

Higher ideal approximation theory ⋮ The phantom cover of a module. ⋮ Gorenstein flat phantom morphisms ⋮ Higher phantom and Ext-phantom morphisms ⋮ Phantom covering ideals in categories without enough projective morphisms ⋮ Ideal approximation theory ⋮ Covering ideals of morphisms and module representations of the quiver \(\mathbb A_2\). ⋮ Higher phantom morphisms with respect to a subfunctor of ext ⋮ Neat-phantom and clean-cophantom morphisms ⋮ Localization and duality in topology and modular representation theory. ⋮ Powers of the phantom ideal ⋮ Precovers and Preenvelopes by Phantom and Ext-Phantom Morphisms ⋮ Phantom envelopes and Ext-phantom covers of modules ⋮ Ziegler partial morphisms in additive exact categories ⋮ Phantom maps and purity in modular representation theory. III ⋮ \(\mathcal{F}\)-copartial morphisms ⋮ Rd-phantom and RD-Ext-phantom morphisms

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