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Bulletin of the American Mathematical Society

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A necessary and sufficient condition for orders in direct sums of complete skewfields to have only finitely many nonisomorphic indecomposable integral representations


Author: K. W. Roggenkamp
Journal: Bull. Amer. Math. Soc. 76 (1970), 130-134
DOI: https://doi.org/10.1090/S0002-9904-1970-12398-9
MathSciNet review: 0284466
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  • 3. Ju. A. Drozd, V. V. Kirichenko and A. V. Roiter, On hereditary orders and Bass orders, Izv. Akad. Nauk SSSR 31 (1967), 1415-1436. (Russian) MR 219527
  • 4. A. Heller and I. Reiner, Representations of cyclic groups in rings of integers. I, II, Ann of Math. (2) 76 (1962), 73-92; (2) 77 (196), 318-328. MR 140575
  • 5. H. Jakobinski, Sur les ordres commutatifs avec un nombre fini de réseaux indécomposables, Acta Math. 118 (1967), 1-31. MR 212001
  • 6. K. W. Roggenkamp, Orders in sums of (P-adic skewfields, with an infinite number of integral representations, MS 1968.
  • 7. K. W. Roggenkamp, Charakterisierung von Ordnungen in einer direkten Summe kompletter Schiefkörper, die nur endlich viele nicht isomorphe unzerfällbare Darstellungen haben, Habilitationsarbeit, Gieben, 1969.


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1970-12398-9

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