Honest errors take down math paper

1-s2.0-S0022247X15X00217-cov150hAn incorrect proof has felled a math paper. There’s not too much to say in a straightforward situation like this one, which we’ve seen before — the result of honest errors, not any malfeasance.

Here’s the abstract for “Spectral mapping theorem for generalized Kato spectrum:”

In this paper, we give an affirmative answer to Mbekhta’s conjecture (Mbekhta, 1990) about the pseudo Fredholm operators in Hilbert space. As a consequence, we characterize pseudo Fredholm operators and we prove that the generalized Kato spectrum satisfies the spectral mapping theorem in the Hilbert spaces setting.

The paper — published in the Journal of Mathematical Analysis and Applications — has been cited twice, according to Thomson Scientific’s Web of Knowledge.

Here’s the retraction note:

Continue reading Honest errors take down math paper

“Copyright issues that cannot be resolved” and duplicate publication sink two groundwater papers

EnvEarthSci_ak18Springer has retracted two articles about groundwater in Algeria from its journal Environmental Earth Sciences – one was sent down the well by “copyright issues that cannot be resolved,” and the other by a duplicate publication two years prior.

The first article of the two, “Principal component, chemical, bacteriological, and isotopic analyses of Oued-Souf groundwaters,” was published in 2009 by researchers in Japan and Algeria. Its corresponding author, Hakim Saibi, is listed as an associate professor in the faculty of engineering at Kyushu University in Japan. We can’t say anything about the article’s content beyond what’s in the title, since its abstract is no longer available online. The retraction notice consists of a single, lonely sentence: Continue reading “Copyright issues that cannot be resolved” and duplicate publication sink two groundwater papers