Study of skew inverse Laurent series rings

DOI10.1142/S0219498817502218zbMath1392.16041OpenAlexW2558452206MaRDI QIDQ4594950

Kamal Paykan, Ahmad Moussavi

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817502218

zbMATH Keywords

cleannilpotent elementprime radicallocalprojective-free ringsemilocalsemiperfectGoldie rankascending chain conditions for principal one-sided idealsserial ring\(I\)-ringquasi-duosemiprimitive2-primalskew inverse Laurent series ring(weak) zip ring(quasi-)Baer ringskew inverse power series ring

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) Generalizations of commutativity (associative rings and algebras) (16U80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Associative rings and algebras arising under various constructions (16S99)

Related Items (8)

Further results on skew Hurwitz series ring. I ⋮ Goldie ranks of skew generalized power series rings ⋮ Primitivity of skew inverse Laurent series rings and related rings ⋮ Skew inverse Laurent series extensions of weakly principally quasi Baer rings ⋮ A characterization of 2-primal and NI rings over skew inverse Laurent series rings ⋮ Differential extensions of weakly principally quasi-Baer rings ⋮ Computing valuations of the Dieudonné determinants ⋮ Some new results on skew inverse Laurent series rings

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