NIL-ARMENDARIZ RINGS AND UPPER NILRADICALS

DOI10.1142/S0218196712500592zbMath1261.16021OpenAlexW2171264739MaRDI QIDQ4649518

Nam Kyun Kim, Yang Lee, Dawoon Jung, Sung Pil Yang

Publication date: 22 November 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196712500592

zbMATH Keywords

nilpotent elementspolynomial ringsvon Neumann regular ringsAbelian ringsArmendariz ringsnil-Armendariz ringsupper nil radical

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80)

Related Items

Unnamed Item ⋮ An alternative perspective on skew generalized power series rings ⋮ Structure of abelian rings ⋮ On partial-Armendariz rings ⋮ On linearly weak Armendariz rings. ⋮ Rings whose nilpotents form a multiplicative set ⋮ Unnamed Item ⋮ ON A RING PROPERTY GENERALIZING POWER-ARMENDARIZ AND CENTRAL ARMENDARIZ RINGS ⋮ INSERTION-OF-FACTORS-PROPERTY WITH FACTORS NILPOTENTS ⋮ Unnamed Item ⋮ Insertion of units at zero products ⋮ Nilradicals of the unique product monoid rings

Cites Work

• Nilpotent elements and Armendariz rings.
• Armendariz rings
• Polynomial rings over nil rings need not be nil
• ON 2-PRIMAL ORE EXTENSIONS
• Nilpotent ideals in polynomial and power series rings
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• Power Series Rings Satisfying a Zero Divisor Property
• On Weak Armendariz Rings