A taxonomy of 2-primal rings.

DOI10.1016/S0021-8693(03)00301-6zbMath1045.16001MaRDI QIDQ1406760

Greg Marks

Publication date: 7 September 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

semiprime ringsduo ringssymmetric rings2-primal ringsreduced rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Noncommutative local and semilocal rings, perfect rings (16L30) Ideals in associative algebras (16D25)

Related Items (60)

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Cites Work

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• Links between prime ideals in differential operator rings
• Primitivity in differential operator rings
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• Three questions on duo rings
• On two analogues of Cohen's theorem
• Exercises in classical ring theory.
• \(\Sigma\)-injective modules over left duo and left distributive rings
• Reversible and symmetric rings.
• On rings whose prime radical contains all nilpotent elements of index two
• On weak \(\pi\)-regularity of rings whose prime ideals are maximal
• Split-null extensions of strongly right bounded rings
• ON 2-PRIMAL ORE EXTENSIONS
• Some examples of noncommutative local rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• On right duo p.p. rings
• Non-Commutative Unique Factorisation Rings
• Homomorphic images and the singular ideal of a strongly right bounded ring
• Reflexive ideals
• Finite Dimensional Right Duo Algebras are Duo
• Structure of minimal noncommutative duo rings and minimal strongly bounded non-duo rings
• Noetherian Ore Extensions and Jacobson Rings
• Skew polynomial rings over 2-primal rings
• On semicommutative II-regular rings
• Primeness, semiprimeness and prime radical of ore extensions
• Questions on 2-primal rings
• A characterization of minimal prime ideals
• Reversible Rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• On strongly bounded rings and duo rings
• Near-rings in which each element is a power of itself
• On the Nilpotency of Nil Subrings
• Logical connections between some open problems concerning nil rings
• On the Representation of Modules by Sheaves of Factor Modules
• On Duo Rings
• On annihilator ideals of a polynomial ring over a noncommutative ring

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