Skip to main content
Log in

Genera and decompositions of lattices over orders

  • Published:
Acta Mathematica

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Auslander, M. &Goldman, O., Maximal orders.Trans. Amer. Math. Soc., 97 (1960), 1–24.

    Article  MathSciNet  Google Scholar 

  2. Bass, H., K-theory and stable algebra.Publications Inst. Hautes Etudes Sci., 22 (1964), 5–60.

    MATH  MathSciNet  Google Scholar 

  3. Chevalley, C., L'arithmétique dans les algèbres de matrices.Actualités Sci. Ind., 323 (1936).

  4. Curtis, C. & Reiner, I.,Representation theory of finite groups and associative algebras. Interscience, 1962.

  5. Deuring, M.,Algebren. Ergebnisse der Mathematik 4, 1935.

  6. Eichler, M., Über die Idealklassenzahl hyperkomplexer Systeme.Math. Z., 43 (1937), 481–494.

    Article  MathSciNet  Google Scholar 

  7. —, Allgemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraischen Zahlkörpern und ihreL-Reihen.J. reine angew. Math., 179 (1938), 227–251.

    MATH  Google Scholar 

  8. Heller, A., On group representations over a valuation ring.Proc. Nat. Acad. Sci. U.S.A., 47 (1961), 1194–1197.

    MATH  MathSciNet  Google Scholar 

  9. Jacobinski, H., Über die Geschlechter von Gittern über Ordnungen.J. reine angew. Math., 230 (1968), 29–39.

    MATH  MathSciNet  Google Scholar 

  10. Reiner, I., Failure of the Krull-Schmidt theorem for integral representations.Michigan Math. J., 9 (1962), 225–232.

    Article  MATH  MathSciNet  Google Scholar 

  11. Reiner, I., Representation rings. To appear inMichigan Math. J.

  12. Rim, D. S., On projective class groups.Trans. Amer. Math. Soc., 98 (1961), 459–467.

    Article  MATH  MathSciNet  Google Scholar 

  13. Roiter, A. V., On integral representations belonging to an order (Russian).Izv. Akad. Nauk SSSR Ser. Mat., 30 (1966), 1315–1324.

    MathSciNet  Google Scholar 

  14. Serre, J.-P.,Modules projectifs et espaces fibrés à fibre vectorielle. Sém. Dubreil, 1957–58, no 23.

  15. Swan, R. G., Induced representations and projective modules.Ann. of Math., 71 (1960), 552–578.

    Article  MATH  MathSciNet  Google Scholar 

  16. — Projective modules over group rings and maximal orders.Ann. of Math., 76 (1962), 55–61.

    Article  MATH  MathSciNet  Google Scholar 

  17. — The Grothendieck ring of a finite group.Topology 2 (1963), 85–110.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jacobinski, H. Genera and decompositions of lattices over orders. Acta Math. 121, 1–29 (1968). https://doi.org/10.1007/BF02391907

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02391907

Navigation