Projective modules over clean orders

K. W. Roggenkamp

Compositio Mathematica (1969)

  • Volume: 21, Issue: 2, page 185-194
  • ISSN: 0010-437X

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Roggenkamp, K. W.. "Projective modules over clean orders." Compositio Mathematica 21.2 (1969): 185-194. <http://eudml.org/doc/89011>.

@article{Roggenkamp1969,
author = {Roggenkamp, K. W.},
journal = {Compositio Mathematica},
keywords = {associative rings},
language = {eng},
number = {2},
pages = {185-194},
publisher = {Wolters-Noordhoff Publishing},
title = {Projective modules over clean orders},
url = {http://eudml.org/doc/89011},
volume = {21},
year = {1969},
}

TY - JOUR
AU - Roggenkamp, K. W.
TI - Projective modules over clean orders
JO - Compositio Mathematica
PY - 1969
PB - Wolters-Noordhoff Publishing
VL - 21
IS - 2
SP - 185
EP - 194
LA - eng
KW - associative rings
UR - http://eudml.org/doc/89011
ER -

References

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  1. M. Auslander and O. Goldman [1] Maximal orders. Trans. Amer. Math. Soc.97 (1960), 1— 24. Zbl0117.02506
  2. H. Bass [2] The Morita theorems. Mimeo. notes, Univ. of Oregon, 1962. 
  3. C.W. Curtis and I. Reiner [3] Representation theory of finite groups and associative algebras. Interscience, N.Y.1962. Zbl0131.25601MR144979
  4. M. Eichleir [4] Über die Idealklassenzahl hyperkomplexer Systeme, Math. Z.43 (1937), 481-494. Zbl0018.20201JFM64.0085.01
  5. D.G. Higman [5] On orders in separable algebras. Can. J. Math.7 (1955), 509 — 515. Zbl0065.26002
  6. H. Jacobinski [6] Über die Geschlechter von Gittern über Ordnungen. J. für reine und angew. Math., to appear. Zbl0157.10403MR229676
  7. J.M. Maranda [7] On the equivalence of representations of finite groups by groups of automorphisms of modules over Dedekind rings. Can. J. Math.7 (1955), 516-526. Zbl0065.26101MR88498
  8. I. Reiner [8] The Krull-Schmidt-theorem for integral group representations. Bull. Amer. Math. Soc.67 (1961), 365-367. Zbl0099.01504MR138689
  9. K.W. Roggenkamp [9] On the irreducible representations of orders. MS, U. of Illinois, 1967. 
  10. K.W. Roggenkamp [10] A counterexample to a conjecture of A. V. Roiter. Notices Amer. Math. Soc.14 (1967), 530 (67T-372). 
  11. A.V. Roiter [11] On the integral representations, belonging to one genus. Izv. Akad. Nauk, SSSR30 (1966), 1315-1324. Zbl0232.20006MR213391
  12. J.R. Strooker [12] Faithfully projective modules and clean algebras. Ph.D. thesis, Reichsuniversität Utrecht, 1965. Zbl0192.38002MR217115
  13. R. Swan [13] Induced representations and projective modules. Ann. Math.71 (1960), 552-578. Zbl0104.25102MR138688
  14. R. Swan [14] Projective modules over group rings and maximal orders. Ann. Math.76 (1962), 55-61. Zbl0112.02702MR139635
  15. R. Swan [15] The Grothendieck ring of a finite group. Topology, 2 (1963), 85-110. Zbl0119.02905MR153722
  16. H. Zassenhaus [16] Neuer Beweis der Endlichkeit der Klassen- bei unimodularer Äquivalenz endlicher ganzzähliger Substitutionsgruppen. Hamb. Abh.12 (1938), 276-288. Zbl0021.30001JFM64.0965.01

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