This paper introduces the topological finiteness condition finite derivation type (FDT) on the class of semigroups. This notion is naturally extended from the monoid case. With this new concept we are able to prove that if a Rees matrix semigroupM[S; I, J ;P ] has FDT then the semigroup S also has FDT. Given a monoid S and a finitely presented Rees matrix semigroup M[S; I, J ;P ] we prove that ...

It was shown by Rees & Rowland (1961) that rat-liver nuclei isolated in 025 M-sucrose incorporated amino acids into protein, and nucleotides into RNA. Although the incorporation was inhibited to varying degrees by anoxia and by several inhibitors of oxidative phosphorylation, it was not affected by detergents, by freezing and thawing the nuclei, or by disruption of the nuclei by ultrasonic vibr...

Rare earth elements (RREs) include the fifteen lanthanides plus scandium and yttrium [1]. Because of their prevalence in renewable energy devices and high-end electronics, REEs become increasingly significant for the advancement of technology and energy saving devices [2]. The goal of this project is to estimate the economical values of rare earth elements and to find the optimal extraction pro...

A new method has been developed combining desolvating micronebulization with magnetic sector inductively coupled plasma mass spectrometry (ICPMS) for the analysis of all 14 stable rare earth elements (REEs) in small samples of marine particulate matter. Application is demonstrated for REEs in suspended particles from a deep ocean hydrothermal vent plume and a geological reference material. A 10...

In this note the Briançon-Skoda theorem is extended to Noetherian filtrations of ideals in a regular ring. The method of proof couples the Lipman-Sathaye approach with results due to Rees. Let A be a regular ring of dimension d and I an ideal of A. Let I denote the integral closure of I. The Briançon-Skoda theorem asserts that if I is generated by l elements then In+l ⊆ I, for all nonnegative i...

Environmental impacts caused by the addition of rare earth elements (REEs) to agricultural soils are a growing concern. The sedimentary basin Gurguéia River is located in one last frontiers Brazil; nevertheless, data regarding quality reference values (QRVs) for REEs still scarce. objective this study was therefore determine natural concentration and establish QRVs watershed, Brazil. Fifty-five...

Five soil-transmitted pathogenic fungi (Aspergillus niger) were isolated and selected to investigate the effect of Rare earth elements on their disease causing ability. The present study reveals the response of leguminous plant (Arachis hypogaea L.) to monazite soil containing Rare earth elements. A significant increase in plant biomass, total chlorophyll content and stress resistant product (p...

A totally ordered monoid, or tomonoid for short, is a monoid endowed with a compatible total order. We deal in this paper with tomonoids that are finite and negative, where negativity means that the monoidal identity is the top element. Examples can be found, for instance, in the context of finite-valued fuzzy logic. By a Rees coextension of a negative tomonoid S, we mean a negative tomonoid T ...