Some remarks on separable extensions

Two - Scale Convergence . Some Remarks and Extensions

We first study the fundamental ideas behind two-scale convergence to enhance an intuitive understanding of this notion. The classical definitions and ideas are motivated with geometrical arguments illustrated by illuminating figures. Then a version of this concept, very weak two-scale convergence, is discussed both independently and briefly in the context of homogenization. The main features of...

On Separable Abelian Extensions of Rings

Let R be a ring with I, G (= (1>x...Xm) a finite abelian automorphism group of R of order n where (i2 is cyclic of order n. for some integers n, hi, and m, and C the center of R whose automorphism group induced by G is isomorphic with G. Then an abelian extension Rtx 1,...,xm is defined as a generalization of cyclic extensions of rings, and RXl,...,Xm is an Azumaya algebra over K (= CG {c in C ...

Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

EXTENSIONS OF REMARKS 18134 July 27 , 1999 EXTENSIONS OF REMARKS

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Some Remarks on Roeper’s Remarks on Chomsky’s ‘Remarks’

In his 1970 paper ‘Remarks on nominalization’, Noam Chomsky provided several arguments for the lexicalist hypothesis, namely the idea that nouns like refusal, rejection, growth, and so on are nouns throughout the entire syntactic derivation. Tom Roeper’s paper ‘Chomsky’s Remarks and the transformationalist hypothesis’ challenges the lexicalist hypothesis, arguing that such nouns are syntactical...