Noetherian skew inverse power series rings.

DOI10.1007/S10468-008-9123-4zbMath1217.16038arXivmath/0703558OpenAlexW2055794418MaRDI QIDQ975348

Linhong Wang, Edward S. Letzter

Publication date: 9 June 2010

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703558

zbMATH Keywords

filtrationsskew derivationsNoetherian ringsright Krull dimensioncomplete local noncommutative ringsskew inverse power seriesskew Laurent 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) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (11)

On prime ideals of Noetherian skew power series rings. ⋮ Study of skew inverse Laurent series rings ⋮ On primeness of general skew inverse Laurent series ring ⋮ Primitivity of skew inverse Laurent series rings and related rings ⋮ Skew inverse Laurent series extensions of weakly principally quasi Baer rings ⋮ On Zero-Divisors in Skew Inverse Laurent Series Over NonCommutative Rings ⋮ A characterization of 2-primal and NI rings over skew inverse Laurent series rings ⋮ On Radicals of Skew Inverse Laurent Series Rings ⋮ Radicals of Skew Inverse Laurent Series Rings ⋮ Differential extensions of weakly principally quasi-Baer rings ⋮ Some new results on skew inverse Laurent series rings

Cites Work

• Laurent series rings and pseudo-differential operator rings.
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• On the codimension of modules over skew power series rings with applications to Iwasawa algebras.
• Ore Extensions and Polycyclic Group Rings
• Prime ideals in skew and 𝑞-skew polynomial rings
• A non-commutative Weierstrass preparation theorem and applications to Iwasawa theory
• Local Rings and Normalizing Sets of Elements
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