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This paper is a sequel to . We establish the minimal basis theory for the centralizers of parabolic subalgebras of Iwahori-Hecke algebras associated to finite Coxeter groups of any type, generalizing the approach introduced in  from centres to the centralizer case. As a pro-requisite, we...
For a right excellent extension S of a ring R, it is proved that R is right, finitely Σ-CS if and only if S is the same. As an application of this result, a number of examples of group rings which are finitely Σ-CS are presented. This generalizes a result of Jain, et al. , where it was shown...
This is a continuation of the paper . It is shown that any finite subdirect product of exchange rings satisfying the n-stable range condition is still an exchange ring satisfying the n-stable range condition. Furthermore, we give necessary and sufficient conditions on matrices over an...
be an infinite group and
. In this paper, we prove that
satisfies the law
if and only if in any two infinite subsets
, there exist
. We also prove that
satisfies the law
if and only if in any
, there exist...
The aim of this paper is to investigate some properties of real closed regular rings, in particular, the role played by real place in a real closed regular ring.
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