ON COMMUTATIVE IDEMPOTENT RINGS

Authors
ANDRUSZKIEWICZ RR PUCZYLOWSKI ER
Citation
Rr. Andruszkiewicz et Er. Puczylowski, ON COMMUTATIVE IDEMPOTENT RINGS, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 125, 1995, pp. 341-349
Citations number
3
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
125
Year of publication
1995
Part
2
Pages
341 - 349
Database
ISI
SICI code
0308-2105(1995)125:<341:OCIR>2.0.ZU;2-U
Abstract
We study the problem when a ring which is an extension of a commutativ e idempotent ring by a commutative idempotent ring is commutative. In particular, we answer Sands' question showing that the class of commut ative idempotent rings whose every homomorphic image has zero annihila tor is a maximal but not the largest radical class consisting of commu tative idempotent rings.