Abstract
Let S be a ring and let K be a right ideal of S. Then we write R = I S (K) = {s ∈ S | sK ⊑ K} and call it the idealizer of K in S. We also use the notation I(K) if there is no confusion. Historically, the idealizers were used to study hereditary orders in a simple Artinian ring by Harada [H] and Robson [R2].
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Marubayashi, H., Miyamoto, H., Ueda, A. (1997). The Applications and Examples. In: Non-Commutative Valuation Rings and Semi-Hereditary Orders. K-Monographs in Mathematics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2436-4_4
Download citation
DOI: https://doi.org/10.1007/978-94-017-2436-4_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4853-0
Online ISBN: 978-94-017-2436-4
eBook Packages: Springer Book Archive