Some aspects of Olga Tausskyʹs work in algebra Original Research Article

Olga Tausskyʹs pivotal role as a ‘torch bearer’ for matrix theory is well understood and well-appreciated, as is her role in number theory and in particular there her key contribution to the development of matrix-theoretic techniques in algebraic number theory. Her contributions in these subjects have been highlighted in numerous tributes to her. In my own case, I can strongly affirm the positive impact that her work and her personal advice and interest has had in inspiring and encouraging my own research. However, in this note, I wish to draw attention to her contributions to other parts of algebra and the influence that the results themselves and the questions she posed have had in these areas. A number of those results arose in connection with problems in linear algebra or number theory, but are of interest in more general terms. I would also like to put the results in the context of current research. Of necessity, I have had to make a short selection from her numerous papers and my choice inevitably is a subjective one.