Idealiser rings of injective dimension one

AW Chatters

Research output: Contribution to journalArticle (Academic Journal)peer-review


We study a certain type of prime Noetherian idealiser ring R of injective dimension 1, and prove for instance that the idempotent ideals of R are projective and that every non-zero projective ideal of R is uniquely of the form U E for some invertible ideal U and idempotent ideal E of R. Formulae are given for the number of idempotent ideals of R and the number of orders which contain R.
Translated title of the contributionIdealiser rings of injective dimension one
Original languageEnglish
Pages (from-to)239 - 252
Number of pages14
JournalAlgebra Colloquium
Volume13 (2)
Publication statusPublished - Jun 2006

Bibliographical note

Publisher: World Scientific


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