in this paper, we introduce the new notion of strongly j-clean rings associatedwith polynomial identity g(x) = 0, as a generalization of strongly j-clean rings. we denotestrongly j-clean rings associated with polynomial identity g(x) = 0 by strongly g(x)-j-cleanrings. next, we investigate some properties of strongly g(x)-j-clean.

Air exhibiting very low concentrations of light-scattering aerosol particles is occasionally observed even in industrialized regions. Evidence is presented that this very clean air results from highly efficient removal of aerosol particles coupled to the removal of water in precipitation.

the present paper deals with the results of the foresight analysis concerning the development of energy technologies in upper silesia. twelve experts representing science, industry and independent authoritieswere involved in these investigations. upper silesia is a specific region in poland, characterized by coal energy technologies. as 9 result of steep and swot analyses several scenarios of e...

Racket’s syntax parameters support the hygienic implementation of syntactic forms that would otherwise introduce implicit identifiers unhygienically.

It is well known that every uniquely clean ring is strongly clean. In this paper, we investigate the question of when this result holds element-wise. We first construct an example showing that uniquely clean elements need not be strongly clean. However, in case every corner ring is clean the uniquely clean elements are strongly clean. Further, we classify the set of uniquely clean elements for ...

We show that an ambiguity in setting the primitives of the matching with contracts model by Hatfield and Milgrom (2005) has serious implications for the model. Of the two ways to clear the ambiguity, the first (and what we consider more “clean”) remedy renders several of the results of the paper invalid in the absence of an additional irrelevance of removed contracts condition implicitly assume...

Materials & Methods: A retrospective review of all girls that underwent CPRE from December 1998 through September 2016 from a single institution was performed. Operative age and weight, type of pelvic immobilization, use of pelvic osteotomies, imaging, clinical course, and need for additional surgical procedures were recorded. Patients were deemed in retention if their clinical course was consi...