On the unit-1-stable rank of rings of analytic functions.
Carmona, Joan Josep ; Cufí, Julià ; Menal, Pere
Publicacions Matemàtiques, Tome 36 (1992), p. 439-447 / Harvested from Biblioteca Digital de Matemáticas
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In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.

Publié le : 1992-01-01
DMLE-ID : 4217 
@article{urn:eudml:doc:41724,
     title = {On the unit-1-stable rank of rings of analytic functions.},
     journal = {Publicacions Matem\`atiques},
     volume = {36},
     year = {1992},
     pages = {439-447},
     mrnumber = {MR1209814},
     zbl = {0784.46034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41724}
}

Carmona, Joan Josep; Cufí, Julià; Menal, Pere. On the unit-1-stable rank of rings of analytic functions.. Publicacions Matemàtiques, Tome 36 (1992) pp. 439-447. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41724/