The existence of envelopes

zbMath0803.16001MaRDI QIDQ1315167

Edgar E. Enochs, Overtoun M. G. Jenda, Jin Zhong Xu

Publication date: 3 January 1995

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1993__90__45_0

zbMATH Keywords

automorphismslinear mapcharacter modulespure injective envelopeflat envelopecategory of left \(R\)-modules\(\mathcal F\)-envelopesfinitely presented left \(R\)-moduleinjective structure

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20)

Related Items

Modules with cosupport and injective functors., Envelopes and covers by modules of finite injective and projective dimensions, A Brief Survey on Semiprime and Weakly Compressible Modules, On gorenstein injective modules

Cites Work

• Flat envelopes in commutative rings
• Injective and flat covers, envelopes and resolvents
• Minimal pure injective resolutions of flat modules
• Purity and algebraic compactness for modules
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Flat Covers and Flat Cotorsion Modules
• The Existence of Flat Covers
• Foundations of relative homological algebra
• Injective Structures
• Relatively flat envelopes