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- W1995193775 abstract "Let O be a complete discrete valuation ring with unique maximal ideal ( π ) and residue class field k = O / ( π ) , and let Λ be an O -order. Λ ¯ denotes the k -algebra Λ / π Λ . In this paper, we study Heller lattices of Λ ¯ -modules and investigate sufficient conditions of their indecomposability (Theorem 2.9). Also, we show that some short exact sequences of Λ ¯ -modules are, modulo direct summands of split sequences, liftable to short exact sequences of Λ -lattices (Theorem 3.2). In the final section, we shall apply our results on orders to the group ring Λ = O G of a finite group G over O (Theorem 4.4)." @default.
- W1995193775 created "2016-06-24" @default.
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- W1995193775 date "2005-11-01" @default.
- W1995193775 modified "2023-10-16" @default.
- W1995193775 title "On Heller lattices over ramified extended orders" @default.
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- W1995193775 doi "https://doi.org/10.1016/j.jpaa.2005.02.008" @default.
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