EXTENSIONS OF McCOY'S THEOREM

DOI10.1017/S0017089509990243zbMath1195.16026OpenAlexW2158119937MaRDI QIDQ3655777

Nam Kyun Kim, Yang Lee, Chan Yong Hong

Publication date: 12 January 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089509990243

zbMATH Keywords

semiprime ringsquasi-Baer ringsright idealsOre extensionsright annihilatorspower series ringsunique product monoidsskew monoid rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (8)

On rings with weak property (A) and their extensions ⋮ On Rings Having McCoy-Like Conditions ⋮ On transfer of annihilator conditions of rings ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ On a theorem of McCoy ⋮ McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS ⋮ On Zero-Divisors in Skew Inverse Laurent Series Over NonCommutative Rings ⋮ Skew Hurwitz serieswise quasi-Armendariz rings

Cites Work

• Semi-commutativity and the McCoy condition.
• Annihilators in Polynomial Rings
• Zero Divisors and Nilpotent Elements in Power Series Rings
• Remarks on Divisors of Zero
• On annihilator ideals of a polynomial ring over a noncommutative ring

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