Rings whose proper homomorphic images are right subdirectly irreducible

M. G. Deshpande and V. K. Deshpande

Vol. 52 (1974), No. 1, 45–51

DOI: 10.2140/pjm.1974.52.45

Abstract

The structure of the lattice of ideals in a ring whose every proper homomorphic image is right subdirectly irreducible has been determined in all cases except when the ring is primitive and contains a nonzero primitive ideal. In the commutative case, the rings described in the title have been shown to be noetherian and their proper homomorphic images to be selfinjective.

Mathematical Subject Classification

Primary: 16A66

Milestones

Received: 29 January 1973

Published: 1 May 1974