On Annihilator Ideals of Pseudo-differential Operator Rings

DOI10.1142/S1005386715000528zbMath1387.16018OpenAlexW1843077325MaRDI QIDQ3459175

No author found.

Publication date: 21 December 2015

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386715000528

zbMATH Keywords

annihilator idealBaer ringquasi-Baer ringpseudo-differential operator ringArmendariz-like condition

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 of differential operators (associative algebraic aspects) (16S32)

Related Items (2)

Study of skew inverse Laurent series rings ⋮ Differential extensions of weakly principally quasi-Baer rings

Cites Work

• Centralizers in differential, pseudo-differential, and fractional differential operator rings
• Rings with zero intersection property on annihilators: zip rings
• Ore extensions of Baer and p.p.-rings.
• Twisted matrix units semigroup algebras
• On Baer and quasi-Baer rings
• The polynomial ring over a Goldie ring need not be a Goldie ring
• Banach algebras with an adjoint operation
• PRINCIPALLY QUASI-BAER RINGS
• ON ORDERED MONOID RINGS OVER A QUASI-BAER RING
• A GENERALIZATION OF REDUCED RINGS
• ON WEAKLY RIGID RINGS
• Zip rings and mal'cev domains
• Baer and Quasi-Baer Differential Polynomial Rings
• Principally Quasi-Baer Skew Power Series Rings
• A Generalization of the Ring of Triangular Matrices
• A note on extensions of Baer and P. P. -rings
• Semiprime ore extensions
• Idempotents and completely semiprime ideals
• A NOTE ON PRINCIPALLY QUASI-BAER RINGS
• Pseudo-Differential Operator Rings with Armendariz-Like Condition
• Semihereditary rings
• Polynomial extensions of Baer and quasi-Baer rings

This page was built for publication: On Annihilator Ideals of Pseudo-differential Operator Rings