On the sum of annihilators in monoid rings

DOI10.1007/s13398-024-01657-1MaRDI QIDQ6619534

Unnamed Author, Ebrahim Hashemi

Publication date: 16 October 2024

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

zbMATH Keywords

monoid ringsquasi-Armendariz ringsArmendariz ringsIkeda-Nakayama ringsMcCoy ringsSA-rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Ideals in associative algebras (16D25)

Cites Work

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• The Armendariz module and its application to the Ikeda-Nakayama module.
• Quasi-Armendariz rings relative to a monoid.
• Armendariz rings
• Triangular matrix representations
• Ikeda-Nakayama modules
• Ikeda-Nakayama rings
• Semi-commutativity and the McCoy condition.
• PRIME RADICALS IN UP-MONOID RINGS
• Armendariz and Reduced Rings
• Annihilators in Polynomial Rings
• McCoy Rings Relative to a Monoid
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• Armendariz rings and gaussian rings
• ARMENDARIZ RINGS RELATIVE TO A MONOID
• Corrigendum to: When is a sum of annihilator ideals an annihilator ideal?
• Baer and quasi-Baer properties of group rings
• When is a Sum of Annihilator Ideals an Annihilator Ideal?
• On Some Characteristic Properties of Quasi-Frobenius and Regular Rings
• On annihilator ideals in skew power series rings
• On annihilator ideals of a polynomial ring over a noncommutative ring

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