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April 3, 2026Mathematical Notes0 citations

On the Classification of Finite Local Rings with 3-Nilpotent Jacobson Radical

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EZE. V. ZhuravlevAltai State UniversityOMO. A. MinniakhmetovaAltai State University

Key Points

  • To classify finite local rings up to isomorphism based on their Jacobson radical properties.
  • Identifying characteristics of finite local rings with nilpotent Jacobson radicals
  • Analyzing the structure and properties of the rings
  • Employing mathematical techniques for classification
  • A comprehensive classification of certain finite local rings is provided
  • Characterization of isomorphism relations based on the nilpotency index of the Jacobson radical

Abstract

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

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Cite This Study

Zhuravlev et al. (2025) studied this question.

synapsesocial.com/papers/69cf5e2e5a333a821460c55ehttps://doi.org/10.1134/s0001434625605544
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