The separating space of a derivation onA is a separating ideal [2, Chapter 5]; it also satisfies the same property for the left products. The following assertions are of the most famous conjectures about derivations on Banach algebras: (C1) every derivation on a Banach algebra has a nilpotent separating ideal; (C2) every derivation on a semiprime Banach algebra is continuous; (C3) every derivat...

BACKGROUND The number of retracted scientific publications has risen sharply, but it is unclear whether this reflects an increase in publication of flawed articles or an increase in the rate at which flawed articles are withdrawn. METHODS AND FINDINGS We examined the interval between publication and retraction for 2,047 retracted articles indexed in PubMed. Time-to-retraction (from publicatio...

In this correspondence, we present a construction for binary pseudorandom sequences of period 2 1 with ideal autocorrelation property using the polynomial z+(z+1). We show that the sequence obtained from the polynomial becomes an m-sequence for certain values of d. We also find a few values of d which yield new binary sequences with ideal autocorrelation property when m is 3k 1, where k is a po...

purpose: to report clinical features, types, and results of surgery for duane’s retraction syndrome (drs). methods: this is an existing data study on the records of patients with drs. the study was conducted on the hospital records of patients who were referred for drs to a tertiacy eye center in tehran, iran during 8 years. the follow-up period after the surgery was at least 6 months. results:...

Peer review is an integral part of ethical scientific publication process. Though not perfect, it has been replaceable in the last couple centuries since advent journals. Recent innovations include online anonymized credits for peer that can be used to augment academician’s resume. Submissions and retraction are ever growing, increasing demands from reviewers. The rewards may seem commensurate ...

We investigate a variant of the compact metric approximation property which, for subspaces X of c0 , is known to be equivalent to K(X), the space of compact operators on X , being an A/-ideal in the space of bounded operators on X , L{X). Among other things, it is shown that an arbitrary Banach space X has this property iff K(Y, X) is an Af-ideal in L(Y, X) for all Banach spaces Y and, furtherm...

Let R be a commutative ring with identity. An ideal I in R is called a multiplication ideal if every ideal contained in I is a multiple of I. Ohm's properties for nitely generated ideals in Pr ufer domains are investigated by Gilmer. These properties are generalized by Naoum and studied for nitely generated multiplication ideals. The purpose of this work is to generalize the results of Gilmer a...

It is shown that a squarefree principal Borel ideal satisfies the persistence property for the associated prime ideals. For the graded maximal ideal we compute the index of stability with respect to squarefree principal Borel ideals and determine their stable set of associated prime ideals.