Property: (right/left) principally injective
Definition: (right principally injective) homomorphisms from principal right ideals of the ring into the ring extend to endomorphisms of the ring
Resources for learning about this property:
- E. A. Rutter and Jr. Rings with the principal extension property. (1975) @ .
- W. K. Nicholson and M. F. Yousif. Principally injective rings. (1995) @ .
This property has the following metaproperties
- stable under products
- stable under finite products
This property does not
have the following metaproperties