On the decomposition of lattices over orders

Hiroaki HIJIKATA

doi:10.2969/jmsj/04930431

Hiroaki HIJIKATA

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JOURNAL FREE ACCESS

1997 Volume 49 Issue 3 Pages 431-437

DOI https://doi.org/10.2969/jmsj/04930431

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Published: 1997 Received: May 10, 1995 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Curtis, C. W. and Reiner, I., Methods of Representation Theory, vol. 1, Interscience, 1981.
2) Curtis, C. W. and Reiner, I., Methods of Representation Theory, vol. 2, Interscience, 1987.
3) Drozd, Ju. A., Adeles and integral representations, Math. USSR Izv., 3 (1969), 1019-1026.
4) Jacobinski, H., Genera and decomposition of lattices over orders, Acta. Math., 121 (1968), 1-29.
5) Kneser, M., Starke approximation in algebraishen Gruppen I, J. Reine Angew. Math., 218 (1965), 190-203.
6) Roiter, A. V., On the integral representation belonging to a genus, Izv. Akad. Nauk SSSR ser. Mat., 30 (1966), 1315-1324; English transl, in AMS Transl. (2) 71 (1968), 49-59.
7) Swan, R. G., Strong approximation and locally free modules, Ring Theory and Algebra, III (B. McDonald, ed.), Marcel Dekker, New York, 1980, pp. 153-223.
8) Vaserstein, L. N., On the stabilization of the general linear group over a ring, Math. USSR Sbornik, 8 (1969), 383-400.

Right : [1] Curtis, C. W. and Reiner, I., Methods of Representation Theory, vol. 1, Interscience, 1981.
[2] Curtis, C. W. and Reiner, I., Methods of Representation Theory, vol. 2, Interscience, 1987.
[3] Drozd, Ju. A., Adeles and integral representations, Math. USSR Izv., 3 (1969), 1019-1026.
[4] Jacobinski, H., Genera and decomposition of lattices over orders, Acta. Math., 121 (1968), 1-29.
[5] Kneser, M., Starke approximation in algebraishen Gruppen I, J. Reine Angew. Math., 218 (1965), 190-203.
[6] Roiter, A. V., On the integral representation belonging to a genus, Izv. Akad. Nauk SSSR ser. Mat., 30 (1966), 1315-1324; English transl, in AMS Transl. (2) 71 (1968), 49-59.
[7] Swan, R. G., Strong approximation and locally free modules, Ring Theory and Algebra, III (B. McDonald, ed.), Marcel Dekker, New York, 1980, pp. 153-223.
[8] Vaserstein, L. N., On the stabilization of the general linear group over a ring, Math. USSR Sbornik, 8 (1969), 383-400.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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