No CrossRef data available.
Article contents
A note on subdirectly irreducible rings
Published online by Cambridge University Press: 17 April 2009
Abstract
It is proved that every subdirectly irreducible ring can be obtained as a proper homomorphic image of another subdirectly irreducible ring. An example of a subdirectly irreducible ring R with heart H is given for which i) R has a non-subdirectly irreducible homomorphic image, ii) R/H is an integral domain, and iii) the commutator ideal C(R) of R coincides with R.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1971