On the Bézout equation in the ring of periodic distributions

Autor: Rupp Rudolf, Sasane Amol
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Topological Algebra and its Applications, Vol 4, Iss 1 (2016)
Druh dokumentu: article
ISSN: 2299-3231
DOI: 10.1515/taa-2016-0001
Popis: 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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