The ascending chain condition for principal left or right ideals of skew generalized power series rings.

DOI10.1016/J.JALGEBRA.2009.03.040zbMath1188.16040OpenAlexW2051695981MaRDI QIDQ731900

Ryszard Mazurek, Michał Ziembowski

Publication date: 9 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.040

zbMATH Keywords

ordered monoidsskew generalized power series ringsascending chain conditions for principal one-sided idealsgeneralized power series domains

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Integral domains (associative rings and algebras) (16U10)

Related Items (15)

CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ An abstract factorization theorem and some applications ⋮ Special properties of differential inverse power series rings ⋮ On reduced archimedean skew power series rings ⋮ Triangulating dimension of skew generalized power series rings ⋮ A study on skew Hurwitz series rings ⋮ Ascending chain conditions on right ideals of semigroups ⋮ Ascending chain conditions on principal left and right ideals for semidirect products of semigroups. ⋮ Study of skew inverse Laurent series rings ⋮ ARCHIMEDEAN SKEW GENERALIZED POWER SERIES RINGS ⋮ The upper nilradical and Jacobson radical of semigroup graded rings. ⋮ On the ACCP in skew Poincaré-Birkhoff-Witt extensions ⋮ Left principally quasi-Baer and left APP-rings of skew generalized power series ⋮ Archimedean domains of skew generalized power series ⋮ Rota–Baxter operators on skew generalized power series rings

Cites Work

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