We consider a nonstandard odd reduction of supermatrices (as compared with the standard even one) which arises in connection with possible extension of manifold structure group reductions. The study was initiated by consideration of the generalized noninvertible superconformal-like transformations. The features of evenand oddreduced supermatrices are investigated on a par. They can be unified i...

We investigate products J of ideals of “row initial” minors in the polynomial ring K [X ] defined by a generic m × n-matrix. The defining “shape” of J determines a set of “row initial” standard bitableaux that we call superstandard. They form a Gröbner basis of J , and J has a linear minimal free resolution. These results are used to derive a new generating set for the Grothendieck group of fin...

Given a word w over a finite alphabet, we consider, in three special cases, the generalised star-height of the languages in which w occurs as a contiguous subword (factor) an exact number of times and of the languages in which w occurs as a contiguous subword modulo a fixed number, and prove that in each case it is at most one. We use these combinatorial results to show that any language recogn...

The principal result is a construction of completely regular semigroups in terms of semilattices of Rees matrix semigroups and their translational hulls. The main body of the paper is occupied by considerations of various special cases based on the behavior of either Green's relations or idempotents. The influence of these special cases on the construction in question is studied in considerable...

Rare earth elements (REEs) have undergone a steady spread in several industrial, agriculture and medical applications. With the aim of exploring a sensitive and reliable indicator of estimating exposure level to REEs, a simple, accurate and specific ICP-MS method for simultaneous direct quantification of 15 REEs ((89)Y, (139)La, (140)Ce, (141)Pr, (146)Nd, (147)Sm, (153)Eu, (157)Gd, (159)Tb, (16...

Introduction Mark A. Rees examined South Louisiana identity and its relationship to the le Grand Derangement. In his investigation of the Armand Broussard homesite he concludes that there is a tangible connection of the built historical landscape of Acadiana to the cultural impacts of displacement (Rees 2008, 252). He also suggests that Acadian culture should be seen in a context of assimilatio...

A semigroup variety is a Rees-Sushkevich variety if it is contained in a periodic variety generated by 0-simple semigroups. The collection of all permutative combinatorial Rees-Sushkevich varieties constitutes an incomplete lattice that does not contain the complete join J of all its varieties. The objective of this article is to investigate the subvarieties of J. It is shown that J is locally ...

Rare earth elements (REEs) are essential raw materials in a variety of industries including clean energy technologies such as electric vehicles and wind turbines. This places an ever-increasing demand on global rare element production. Coal fly ash (CFA) possesses appreciable levels REEs. CFA, waste by-product coal combustion, is therefore readily available source REEs that does not require min...