A ring is said to be a right (left) semihereditary ring if all of its finitely generated right (left) ideals are projective as modules over . If is both left and right semihereditary, then is simply called a semihereditary ring.
A hereditary ring is clearly semihereditary.
A ring that is left (right) semiheridtary is not necessarily right (left) semihereditary.
A semihereditary integral domain is a Prüfer domain, and conversely.
|Date of creation||2013-03-22 14:48:55|
|Last modified on||2013-03-22 14:48:55|
|Last modified by||CWoo (3771)|