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On the Bézout equation in the ring of periodic distributions

Rudolf RuppAmol Sasane — 2016

Topological Algebra and its Applications

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.

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