Polynomial extensions of Baer and quasi-Baer rings

DOI10.1016/S0022-4049(00)00055-4zbMath0987.16018WikidataQ126351818 ScholiaQ126351818MaRDI QIDQ5935970

Gary F. Birkenmeier, Jin Yong Kim, Jae Keol Park

Publication date: 13 March 2002

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

idempotents annihilators formal power series rings polynomial rings quasi-Baer *-rings quasi-Baer rings rings with involutions skew power series rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (73)

A NOTE ON PRINCIPALLY QUASI-BAER RINGS ⋮ Unnamed Item ⋮ Extensions of Generalized Armendariz Rings ⋮ Dual Rickart Modules ⋮ Generalized semicommutative and skew Armendariz ideals. ⋮ A GENERALIZATION OF REDUCED RINGS ⋮ On Annihilator Ideals of Pseudo-differential Operator Rings ⋮ ON WEAKLY RIGID RINGS ⋮ On polynomials over Rickart rings and their generalizations. I. ⋮ Ring hulls and applications. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semi-Baer modules ⋮ Generalized π-Baer rings ⋮ $\sigma $-PBW extensions of skew Armendariz rings ⋮ Triangular matrix representation of differential polynomial rings ⋮ Generalized quasi-Baer *-rings and Banach *-algebras ⋮ Triangular matrix representations of ring extensions. ⋮ Principal quasi-Baerness of formal power series rings. ⋮ On Triangulating Dimension of Rings ⋮ π-Baer rings ⋮ $\Sigma$-semicommutative rings and their skew PBW extensions ⋮ Direct sums of Rickart modules. ⋮ Idempotents in ring extensions. ⋮ On inverse skew Laurent series extensions of weakly rigid rings ⋮ Baer and Quasi-Baer Differential Polynomial Rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Rickart Modules ⋮ A sheaf representation of principally quasi-Baer $\ast$-rings ⋮ On extensions of Baer and quasi-Baer modules ⋮ Skew inverse Laurent series extensions of weakly principally quasi Baer rings ⋮ On Skew Armendariz of Laurent Series Type Rings ⋮ Principally quasi-Baer skew Hurwitz series rings ⋮ $\pi$-BAER $\ast$-RINGS ⋮ TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Central semicommutative rings. ⋮ BAER ENDOMORPHISM RINGS AND ENVELOPES ⋮ Principally Quasi-Baer Skew Power Series Rings ⋮ Principally Quasi-Baer Skew Power Series Modules ⋮ Armendariz modules over skew PBW extensions ⋮ Annihilators and extensions of idempotent-generated ideals ⋮ Unnamed Item ⋮ ARMENDARIZ RINGS RELATIVE TO A MONOID ⋮ Endo-principally quasi-Baer modules ⋮ On Skew Quasi-Baer Rings ⋮ On annihilator ideals of a polynomial ring over a noncommutative ring ⋮ Triangular matrix representations of rings of generalized power series. ⋮ Quasi-Armendariz rings relative to a monoid. ⋮ Hulls of semiprime rings with applications to $C^*$-algebras. ⋮ Baer and quasi-Baer properties of group rings ⋮ Annihilator Ideals of Noncommutative Ring Constructions ⋮ Ore Extensions of Skew Armendariz Rings ⋮ Rigid Ideals and Radicals of Ore Extensions ⋮ Prime ideals and strongly prime ideals of skew Laurent polynomial rings. ⋮ Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings ⋮ On direct sums of Baer modules. ⋮ Power Series Rings Satisfying a Zero Divisor Property ⋮ Unnamed Item ⋮ The structure of rings of quotients. ⋮ On Skew Power Serieswise Armendariz Rings ⋮ ON ANNIHILATOR IDEALS OF SKEW MONOID RINGS ⋮ Unnamed Item ⋮ LEFT APP-RINGS OF SKEW GENERALIZED POWER SERIES ⋮ On some classes of reflexive rings ⋮ Polynomial extensions of modules with the quasi-Baer property ⋮ Differential extensions of weakly principally quasi-Baer rings ⋮ 𝔏-Rickart Modules ⋮ Self-adjoint ideals in baer *-rings ⋮ BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS ⋮ ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS ⋮ Left APP differential polynomial rings

Cites Work

This page was built for publication: Polynomial extensions of Baer and quasi-Baer rings