On rings whose prime radical contains all nilpotent elements of index two

DOI10.1007/BF01781553zbMath0862.16011MaRDI QIDQ1924919

Dinh Van Huynh, Yasuyuki Hirano, Jae Keol Park

Publication date: 26 May 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

nilpotent elementsAzumaya algebrasright Artinian ringsprime radicalPI-ringsmodule-finite algebras

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (18)

REVERSIBILITY OVER UPPER NILRADICALS ⋮ Special Properties of Rings of Generalized Power Series ⋮ Annelidan rings ⋮ Unnamed Item ⋮ Further results on central Armendariz rings ⋮ Structure of abelian rings ⋮ Unnamed Item ⋮ A taxonomy of 2-primal rings. ⋮ Unnamed Item ⋮ Rings with linearly ordered right annihilators ⋮ Questions on 2-primal rings ⋮ ON 2-PRIMAL ORE EXTENSIONS ⋮ A characterization of minimal prime ideals ⋮ ABELIAN PROPERTY CONCERNING FACTORIZATION MODULO RADICALS ⋮ REVERSIBILITY OVER PRIME RADICALS ⋮ Soclean rings ⋮ Unnamed Item ⋮ On minimal strongly prime ideals

Cites Work

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• Separable rings
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Separable algebras over commutative rings
• On Semiprime P.I. Rings
• Regular Self-Injective Rings With a Polynomial Identity
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• On the Structure of Algebraic Algebras and Related Rings

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