Idealiser Rings of Injective Dimension One
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 UE 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.
2003 ◽
Vol 270
(1)
◽
pp. 249-260
◽
1992 ◽
Vol 34
(3)
◽
pp. 277-300
◽
2000 ◽
Vol 153
(3)
◽
pp. 263-287
◽
2006 ◽
Vol 296
(1)
◽
pp. 234-248
◽
2007 ◽
Vol 1
(1)
◽
pp. 111
◽
Keyword(s):