Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-25T00:37:28.476Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on near-rings of mappings

Published online by Cambridge University Press:  09 April 2009

Sadayuki Yamamuro
Sadayuki Yamamuro
Affiliation:
Department of Mathematics Institute of Advanced Studies Australian National University Canberra
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Hanna Neumann was one of the pioneers of the algebraic theory of nearrings. In the functional analysis, the near-rings appear as the sets of non-linear mappings of a space into itself. The relations between the algebraic properties of these near-rings and the analytic structures of the spaces and mappings involved have not been fully investigated. The purpose of this note is to consider one of such problems.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 2 , September 1973 , pp. 214 - 215
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Bonic, R. and Frampton, J., ‘Smooth functions on Banach manifolds’, J. Math. Mec. 15 (1966), 877–898.Google Scholar
[2]Eidelheit, M., ‘On isomorphisms of rings of linear operators’, Studia Math. 9 (1940), 97–105.CrossRefGoogle Scholar
[3]Magill, K. D. Jr, ‘Automorphisms of the semigroup of all differentiable functions’, Glasgow Math. J. 8 (1967), 63–66.CrossRefGoogle Scholar
[4]Rickart, C. E., ‘One-to-one mappings of rings and lattices’, Bull. Amer. Math. Soc. 54 (1968), 758–764.CrossRefGoogle Scholar
[5]Yamamuro, S., ‘A note on semigroups of mappings on Banch spaces’, J. Austral. Math. Soc. 9 (1969), 455–464.CrossRefGoogle Scholar