A note on nil power serieswise Armendariz rings.

DOI10.1007/s12215-010-0005-3zbMath1206.16044OpenAlexW2086419384MaRDI QIDQ977317

Sana Hizem

Publication date: 21 June 2010

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0005-3

zbMATH Keywords

formal power series ringsnil radicalnil Armendariz ringsweak Armendariz rings

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)

Related Items

Nilpotent elements and nil-Armendariz property of skew generalized power series rings ⋮ Nil-Armendariz condition on skew generalized power series rings ⋮ On power series Armendariz modules ⋮ Reflexive property on nil ideals ⋮ On nilpotent elements of ore extensions ⋮ Reflexive property restricted to nilpotents ⋮ Power serieswise Armendariz property in amalgamated algebra ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS

Cites Work

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