Necessary and sufficient conditions are found on modules over a formal triangular matrix ring to have Krull and/or Noetherian dimension. Also, critical and atomic modules are characterized.
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Mohammed V Univ Rabat, Fac Sci, CeReMaR Res Ctr, Dept Math, Rabat 10000, MoroccoMohammed V Univ Rabat, Fac Sci, CeReMaR Res Ctr, Dept Math, Rabat 10000, Morocco
Bennis, Driss
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El Maaouy, Rachid
Garcia Rozas, Juan Ramon
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Univ Almeria, Dept Math, Almeria 04071, SpainMohammed V Univ Rabat, Fac Sci, CeReMaR Res Ctr, Dept Math, Rabat 10000, Morocco
Garcia Rozas, Juan Ramon
Oyonarte, Luis
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Univ Almeria, Dept Math, Almeria 04071, SpainMohammed V Univ Rabat, Fac Sci, CeReMaR Res Ctr, Dept Math, Rabat 10000, Morocco