Email this article Bezout Rings, Annihilators, and Diagonalizability
- Authors: Tuganbaev A.A.1,2
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Affiliations:
- National Research University “MPEI,”
- Lomonosov Moscow State University
- Issue: Vol 237, No 2 (2019)
- Pages: 329-331
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242340
- DOI: https://doi.org/10.1007/s10958-019-4159-z
- ID: 242340
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Abstract
Let A be a right invariant ring. If A is a diagonalizable ring or an exchange Bezout ring, then B + r(M) = r(M/MB) for every finitely generated right A-module M and any ideal B of the ring A.
About the authors
A. A. Tuganbaev
National Research University “MPEI,”; Lomonosov Moscow State University
Author for correspondence.
Email: tuganbaev@gmail.com
Russian Federation, Moscow; Moscow
