"The object of this paper is to present a detailed, illustrated discussion of a portion of the theory of bilinear forms as found in Volume 2 of Lectures in Abstract Algebra by Nathan Jacobson. This theory involves the fundamental properties of bilinear forms on finite dimensional vector spaces over arbitrary division rings and includes such things as a discussion of the relationship between matrices and bilinear forms as well as the definition of the transpose of a transformation relative to a pair of bilinear forms; a definition independent of the matrix representations of the forms"--Introduction. / Typescript. / "May, 1955." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Nickolas Heerema, Professor Directing Paper. / Includes bibliographical references (leaf 30).
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_257086 |
| Contributors | Hartman, Orlaine Lois (authoraut), Heerema, Nickolas (professor directing thesis.), Florida State University (degree granting institution) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource (iii, 30 leaves), computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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