A Note on a Stability Theorem of the General Linear Group

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Authors

  • A. N. Acharya
     Bhandarkar's College, Coondapur ,IN

Abstract

Let A be a ring with identity and π be a two-sided ideal. Following Bass (See [1] def. 3.1, Page 231), we say that an integer m ≥ 2 defines a stable range for the ideal π of A, if for any n ≥ m and for each (a1, a2, ..., an) ∈ An.

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Published

1975-12-01

How to Cite

Acharya, A. N. (1975). A Note on a Stability Theorem of the General Linear Group. The Journal of the Indian Mathematical Society, 39(1-4), 51–68. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16636

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 A. N. Acharya

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

H. BASS. Algebraic K-Theory, Chapters V and VI, pages 219-342.

L. N. VASERSTEIN. On the stabilisation of the general linear group over a ring, Mat. Sbornik 79 (121) (1969) 405-424, Trans. V. 8, 383-400 (A.M.S.).