Artinian \(\mathbf{M} \)-complete, \( \mathbf{M} \)-reduced, and minimally \(\mathbf{M} \)-complete associative rings

DOI10.15826/UMJ.2024.1.008MaRDI QIDQ6643640

Tatiana V. Pavlova, Leonid M. Martynov

Publication date: 26 November 2024

Published in: Ural mathematical journal (Search for Journal in Brave)

zbMATH Keywords

associative ringfinite ringArtinian ringreduced ringcomplete ring

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11Txx) Radicals and radical properties of associative rings (16Nxx) Associative rings and algebras arising under various constructions (16Sxx)

Cites Work

• On the structure of finite rings. II
• Minimally complete associative Artin rings
• Corrigendum to: ``Minimally complete associative Artinian rings
• Über die Multiplikation von Klassen algebraischer Systeme. (Multiplication of classes of algebraic systems)
• Attainable classes of algebras
• Completeness, reducibility, primarity and purity for algebras: results and problems
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