Annihilators and Finitely Generated Modules


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Abstract

We prove that B + AnnM = Ann(M/MB) for every finitely generated right module M over a strongly regular ring A and every ideal B of the ring A.

About the authors

E. S. Golod

Moscow State University

Author for correspondence.
Email: 7012002@inbox.ru
Russian Federation, Moscow

A. A. Tuganbaev

Moscow State University; National Research University “MPEI”

Email: 7012002@inbox.ru
Russian Federation, Moscow; Moscow

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