On Commutative FGS-Rings

• Published in: Communications in algebra Vol. 32; no. 5; pp. 1715 - 1727
• Main Authors: Gueye, Cheikh Thiécoumba, Sanghare, Mamadou
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 31.12.2004
• Subjects: FGS-ring; Finitely generated module; Principal ideal ring

Let R be a ring. An R-module M is said to satisfy property (S) if every surjective endomorphism of M is an automorphism. Let F R be the class of finitely generated R-module and S R be the class of R-module satisfying property (S). In 1969 W. V. Vasconcelos proved that for every commutative ring R, F...