Almost split sequences over \({\mathfrak p}\)-adic rings

DOI10.1007/BF01160208zbMath0629.16005OpenAlexW2080945719MaRDI QIDQ1093709

Maria Teresa A. D. Nogueira, James A. Green

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173949

zbMATH Keywords

tracealmost split sequencesradicalpullbackprojective coverNakayama functorsimple socle\(\Lambda \)-latticesminimal projective presentationR-order in a finite-dimensional semisimple K-algebrasymmetric Gorenstein order

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Cites Work

• Injective modules over Noetherian rings
• Lattices over orders I
• Virtually Irreducible Lattices
• The Construction of almost Split Sequences, II: Lattices over orders
• Representation theory of artin algebras iii almost split sequences
• Almost split sequences for integral group rings and orders
• The construction of almost split sequences for integral group rings and orders
• On Orders In Separable Algebras
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