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Mat. Zametki, 2025 Volume 118, Issue 5, Pages 679–697 (Mi mzm14589)

On the classification of finite local rings with 3-nilpotent Jacobson radical

E. V. Zhuravlev, O. A. Minniakhmetova

Altai State University, Barnaul

Abstract: In the paper, a classification up to isomorphism is given for some finite local rings with the Jacobson radical of nilpotency index 3.

Keywords: finite ring, local ring.

UDC: 512.55

PACS: 02.10.−v

MSC: 16P10, 16W20

Received: 27.01.2025
Revised: 31.01.2025
Accepted: 27.04.2025

DOI: 10.4213/mzm14589


 English version:
Mathematical Notes, 2025, 118:5, 1005–1020


© Steklov Math. Inst. of RAS, 2026