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The Study of Linear Associative Algebras in the United States, 1870–1927

In: Emmy Noether in Bryn Mawr

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  • Jeanne LaDuke

    (DePaul University, Department of Mathematical Sciences)

Abstract

When the “modern algebra” of Emmy Noether and her school became known in the United States in the early 1930s it encountered and interacted with algebra as it had been known and practiced here. It should be useful to examine one aspect of that algebra in order to prepare a background for understanding the relationship of Noether’s work to that of algebraists in the United States. One area in particular, the study of hypercomplex number systems, or linear algebras as they came to be called, had a particularly American flavor in its development from 1870 to about 1927. For this reason and because much of Noether’s most influential work is related in some way to hypercomplex number systems, I shall examine this aspect of algebra. I will describe how hypercomplex numbers were viewed and what language was used to describe them, what were seen as major problems, and what principles guided American algebraists in this field during the period 1870–1927.

Suggested Citation

  • Jeanne LaDuke, 1983. "The Study of Linear Associative Algebras in the United States, 1870–1927," Springer Books, in: Bhama Srinivasan & Judith D. Sally (ed.), Emmy Noether in Bryn Mawr, pages 147-159, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-5547-5_11
    DOI: 10.1007/978-1-4612-5547-5_11
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