Extensions of zip rings.

DOI10.1016/J.JPAA.2004.08.025zbMath1071.16020OpenAlexW2086686051MaRDI QIDQ1764818

Yang Lee, Nam Kyun Kim, Chan Yong Hong, Tai Keun Kwak

Publication date: 22 February 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.025

zbMATH Keywords

monoid ringsright annihilatorsArmendariz ringsright zip ringsupper triangular matrix ringsu.p. monoids

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Semigroup rings, multiplicative semigroups of rings (20M25) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (36)

On Ore extension and skew power series rings with some restrictions on zero-divisors ⋮ Semicommutative involution rings ⋮ On Rings Having McCoy-Like Conditions ⋮ Power-serieswise McCoy Rings ⋮ Nilpotent elements of skew Hurwitz series rings ⋮ On Weak Annihilator Ideals of Skew Monoid Rings ⋮ On zip and weak zip rings of skew generalized power series. ⋮ ANNIHILATOR CONDITIONS IN MATRIX AND SKEW POLYNOMIAL RINGS ⋮ ORE EXTENSIONS OF WEAK ZIP RINGS ⋮ \(\pi\)-Armendariz rings relative to a monoid ⋮ On transfer of annihilator conditions of rings ⋮ ON GENERALIZED ZIP RINGS ⋮ Zip property of certain ring extensions. ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ Study of skew inverse Laurent series rings ⋮ On a theorem of McCoy ⋮ Nil-Armendariz condition on skew generalized power series rings ⋮ Feckly McCoy 环 ⋮ Unnamed Item ⋮ Nilpotent elements and Armendariz rings. ⋮ Examples of Armendariz Rings ⋮ Skew polynomial extensions over zip rings. ⋮ ON WEAK ZIP SKEW POLYNOMIAL RINGS ⋮ Skew Poincaré-Birkhoff-Witt extensions over weak zip rings ⋮ McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS ⋮ RADICALS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ On Zero-Divisors in Skew Inverse Laurent Series Over NonCommutative Rings ⋮ The McCoy Condition on Ore Extensions ⋮ A note on zip rings. ⋮ MAL'CEV–NEUMANN SERIES OVER ZIP AND WEAK ZIP RINGS ⋮ A GENERALIZATION OF NIL-ARMENDARIZ RINGS ⋮ Unnamed Item ⋮ The McCoy condition on skew Poincaré-Birkhoff-Witt extensions ⋮ Radicals of Skew Inverse Laurent Series Rings ⋮ On generalized power series rings with some restrictions on zero-divisors ⋮ ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS

Cites Work

• Rings with zero intersection property on annihilators: zip rings
• Rings whose faithful left ideals are cofaithful
• Armendariz rings
• Armendariz rings and reduced rings
• Zip rings and mal'cev domains
• Armendariz rings and gaussian rings
• The Finite Intersection Property on Annihilator Right Ideals
• On annihilator ideals of a polynomial ring over a noncommutative ring
• Unnamed Item

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