Serge Alexander Korff

Vyacheslav Futorny and Serge Ovsienko

We introduce a new class of noncommutative rings-Galois orders, realized as certain subrings of invariants in skew semigroup rings, and develop their structure theory. The class of Galois orders generalizes classical orders in noncommutative rings and contains many classical objects, such as the Generalized Weyl algebras, the universal enveloping algebra of the general linear Lie algebra, assoc...

1 Retrieval failures in face naming Serge

Alexander Ogilvy

Alexander M

As a former student of Professor Ostrowski—one of his last— I am delighted to recall here the life and work of one of the great mathematicians of the 20th century. Needless to say that, in view of Ostrowski’s immense and vastly diverse mathematical legacy, this can be done only in a most summary fashion. Further literature on Ostrowski can be found in some of the references at the end of this a...

Alexander Sturn

Cluster Analysis for Large Scale Gene Expression Studies High throughput gene expression analysis is becoming more and more important in many areas of biomedical research. cDNA microarray technology is one very promising approach for high throughput analysis and provides the opportunity to study gene expression patterns on a genomic scale. Thousands or even tens of thousands of genes can be spo...