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Some remarks on symmetric and Frobenius algebras
- Source :
- Nagoya Math. J. 16 (1960), 65-71
- Publication Year :
- 1960
- Publisher :
- Duke University Press, 1960.
-
Abstract
- In [5] we defined the concepts of Frobenius and symmetric algebra for algebras of infinite vector space dimension over a field. It was shown there that with the introduction of a topology and the judicious use of the terms continuous and closed, many of the classical theorems of Nakayama [7, 8] on Frobenius and symmetric algebras could be generalized to the infinite dimensional case. In this paper we shall be concerned with showing certain algebras are (or are not) Frobenius or symmetric. In Section 3, we shall see that an algebra can be symmetric or Frobenius in “many ways”. This is a problem which did not arise in the finite dimensional case.
- Subjects :
- Symmetric algebra
Pure mathematics
010308 nuclear & particles physics
General Mathematics
010102 general mathematics
01 natural sciences
symbols.namesake
0103 physical sciences
Frobenius algebra
symbols
Division algebra
16.00
0101 mathematics
Frobenius group
Frobenius theorem (real division algebras)
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Nagoya Math. J. 16 (1960), 65-71
- Accession number :
- edsair.doi.dedup.....a532d0117c519d6540cc2235bb2dea74