MAL'CEV–NEUMANN SERIES OVER ZIP AND WEAK ZIP RINGS

DOI10.1142/S1793557112500581zbMath1277.16035MaRDI QIDQ4917822

A. M. Hassanein, Mohamed A. Farahat, Refaat M. Salem

Publication date: 2 May 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Armendariz ringsright zip ringsweak zip ringsMal'tsev-Neumann series

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) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (1)

Generalized Malcev-Neumann series modules with the Beachy-Blair condition.

Cites Work

• Division algebras generated by finitely generated nilpotent groups
• Skew polynomial extensions over zip rings.
• Rings whose faithful left ideals are cofaithful
• Armendariz rings
• Extensions of zip rings.
• ON 2-PRIMAL ORE EXTENSIONS
• Special Properties of Rings of Generalized Power Series
• ORE EXTENSIONS OF WEAK ZIP RINGS
• ON SOME PROPERTIES OF MALCEV-NEUMANN MODULES
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
• Krull dimension of malcev-neumann rings
• Malcev-neumann group rings
• On annihilator ideals of a polynomial ring over a noncommutative ring

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