Abstract
In [1] has been given the definition and some basic properties of orderpotent rings, at that time called ℓ-nilpotent rings (see the definition below). The main theorem concerned the structure of orderpotent algebras over a totally ordered ring. Presently we restate the theorem along with a much better proof. We also give the answers to the two questions asked at the end of that paper.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Piotr Wojciechowski, The concept of ℓ-nilpotent rings, Algebra and Order. Proc. First Int. Symp. Ordered Algebraic Structures, Luminy-Marseilles, 1984.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Wojciechowski, P. (1989). On Orderpotent Rings. In: Martinez, J. (eds) Ordered Algebraic Structures. Mathematics and Its Applications, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2472-7_21
Download citation
DOI: https://doi.org/10.1007/978-94-009-2472-7_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7615-9
Online ISBN: 978-94-009-2472-7
eBook Packages: Springer Book Archive