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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access April 15, 2016

On the Bézout equation in the ring of periodic distributions

Rudolf Rupp and Amol Sasane

Abstract

A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the sequence of Fourier coefficients of these distributions,which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of D'A(Rd) are both equal to 1.

References

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Received: 2015-6-4
Accepted: 2015-10-18
Published Online: 2016-4-15

© 2016 Rudolf Rupp and Amol Sasane

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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