Annihilators and Finitely Generated Modules

Journal Article · Sat Sep 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3952-4· OSTI ID:22773848

Golod, E. S., E-mail: [e-mail]; Tuganbaev, A. A., E-mail: [e-mail] ^[1]

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1. Moscow State University (Russian Federation)

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.

• OSTI ID: 22773848
• Journal Information: Journal of Mathematical Sciences, Vol. 233, Issue 5; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ANNIHILATION OPERATORS
MATHEMATICS
NEUMANN SERIES
RINGS