论文信息 - ENDOMORPHISMS OF FINITELY PRESENTED MODULES

ENDOMORPHISMS OF FINITELY PRESENTED MODULES

It is proved that every surjective or injective endo- morphism of a finitely presented left module over a right perfect ring is an isomorphism. We will adopt the following conventions: Rings and modules are unitary. Module means left module, ideal means left ideal. Let R he a ring and M be a finitely generated i?-module. It is well known that if R is commutative and if M is free, then any two bases of M have the same number of elements. More generally one has

G. Sabbagh

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