Some types of ring elements in Ore extensions over noncommutative rings

DOI10.1142/S0219498817502012zbMath1392.16034MaRDI QIDQ4594927

Ebrahim Hashemi, Maryam Hamidizadeh, Abdollah Alhevaz

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

right duo ringsOre extensionclean elementsvon Neumann regular elementsunit elementsidempotent elements

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Units, groups of units (associative rings and algebras) (16U60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (8)

Nearring of ore extensions: Zero-divisors and regular elements ⋮ Domination number of graphs associated with rings ⋮ On clean and regular elements of near-ring of skew polynomials ⋮ On skew polynomials over Ikeda-Nakayama rings ⋮ A fresh look into skew inverse Laurent series rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On clean and regular elements of noncommutative ring extensions

Cites Work

• Compatible ideals and radicals of Ore extensions.
• A taxonomy of 2-primal rings.
• Exercises in classical ring theory.
• Ore extensions of Baer and p.p.-rings.
• Polynomial extensions of quasi-Baer rings.
• Idempotents in ring extensions.
• Von Neumann Regular and Related Elements in Commutative Rings
• On cerrain classes of pe-rings
• Lifting Idempotents and Exchange Rings
• On abelian π-regular rings
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• The McCoy Condition on Ore Extensions
• ORE EXTENSIONS OF 2-PRIMAL RINGS
• Rigid Ideals and Radicals of Ore Extensions
• On Weak Armendariz Rings
• Near-rings in which each element is a power of itself
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