Products of Symmetric Forms
Document Type
Article
Publication Date
3-1975
Department
Department of Mathematical Sciences
Abstract
Assume r ≥ 3 is a positive integer and let F be a field in which r! ≠ 0. By investigating the notion of formal multiplication of forms over F we are able to show that there exist indecomposable symmetric spaces of degree r over F of all positive dimensions. In particular we show that all nonzero monomial forms of degree r over F are indecomposable, and we state necessary and sufficient conditions for two monomial forms to be equivalent over F. It is a pleasure to thank Professor D. K. Harrison for his helpful suggestions during several private conversations and for allowing me access to an early version of [2].
Publication Title
Journal of Algebra
Recommended Citation
Gilpin, M.
(1975).
Products of Symmetric Forms.
Journal of Algebra,
33(3), 430-434.
http://doi.org/10.1016/0021-8693(75)90111-8
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5312
Publisher's Statement
© 1975