On transfer of annihilator conditions of rings
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Publication:4561490
DOI10.1142/S0219498818501992zbMath1409.16035MaRDI QIDQ4561490
Abdollah Alhevaz, Ebrahim Hashemi, Rasul Mohammadi
Publication date: 6 December 2018
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
power series ringduo ringNoetherian ringreversible ringzip ringpower series-wise McCoy ringstrongly right \((A B)\) ring
Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Noetherian rings and modules (associative rings and algebras) (16P40)
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Cites Work
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- Zip property of certain ring extensions.
- Rings with zero intersection property on annihilators: zip rings
- Extensions of zip rings.
- Rings with property (A) and their extensions.
- McCoy rings and zero-divisors.
- Semi-commutativity and the McCoy condition.
- Extensions of zip rings
- Power-serieswise McCoy Rings
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- Annihilators in Polynomial Rings
- Properties of Primary Noncommutative Rings
- Annihilator ideals, associated primes and kasch-mccoy commutative rings
- Zip rings and mal'cev domains
- Zero Divisors in Skew Power Series Rings
- McCoy Rings Relative to a Monoid
- EXTENSIONS OF McCOY'S THEOREM
- Reflexive ideals
- The Finite Intersection Property on Annihilator Right Ideals
- Reversible Rings
- Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
- Answers to Some Questions Concerning Rings with Property (A)
- McCOY PROPERTY OF SKEW LAURENT POLYNOMIALS AND POWER SERIES RINGS
- Near-rings in which each element is a power of itself
- 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
