Some new characterizations of periodic rings

DOI10.1142/S0219498820502357zbMath1460.16042OpenAlexW2982080491WikidataQ114614508 ScholiaQ114614508MaRDI QIDQ5133886

Jian Cui, Peter V. Danchev

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820502357

zbMATH Keywords

periodic ringsstrongly nil clean ringsstrongly \(\pi \)-regular rings\( \ast \)-periodic rings\( \pi \)-UU rings

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (6)

Rings whose elements are sums of m-potents and nilpotents ⋮ $\ast$-Semiclean rings ⋮ Commutative periodic group rings ⋮ Bounded periodic rings ⋮ Exponents of skew polynomials over periodic rings ⋮ Rings with xn + x or xn − x nilpotent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group rings in which every element is uniquely the sum of a unit and an idempotent.
• Nil-clean and strongly nil-clean rings.
• A commutativity study for periodic rings
• On expressing matrices over \(\mathbb{Z}_2\) as the sum of an idempotent and a nilpotent
• Nil-clean matrix rings
• Nil clean rings.
• Strongly clean matrix rings over commutative local rings.
• Rings in which Every Element is a Sum of Two Tripotents
• Rings with unipotent units
• Some characterizations of ∗-regular rings
• ON STRONGLY *-CLEAN RINGS
• On commutativity of periodic rings and near-rings
• Strongly clean rings and fitting's lemma
• On abelian π-regular rings
• On π-Regular Rings with Involution
• Rings in which every unit is a sum of a nilpotent and an idempotent
• Rings with xn − x nilpotent
• Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical
• Strongly 2-nil-clean rings
• Periodicity and J-Clean-like Rings
• On a Theorem of Herstein
• A generalization of -regular rings
• A Generalization of a Theorem of Jacobson III

This page was built for publication: Some new characterizations of periodic rings