Left principally quasi-Baer and left APP-rings of skew generalized power series

DOI10.1142/S0219498815500383zbMath1327.16036MaRDI QIDQ5175438

Ryszard Mazurek

Publication date: 23 February 2015

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

zbMATH Keywords

skew power series ringsskew Laurent polynomial ringsskew generalized power series ringsskew monoid ringsleft p.q.-Baer ringsleft APP-ringsright \(s\)-unital rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Semigroup rings, multiplicative semigroups of rings (20M25) Twisted and skew group rings, crossed products (16S35) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (10)

CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Triangulating dimension of skew generalized power series rings ⋮ McCoy property and nilpotent elements of skew generalized power series rings ⋮ Nilpotent elements and nil-Armendariz property of skew generalized power series rings ⋮ Some characterizations of 2-primal skew generalized power series rings ⋮ Goldie ranks of skew generalized power series rings ⋮ ARCHIMEDEAN SKEW GENERALIZED POWER SERIES RINGS ⋮ Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings ⋮ Archimedean domains of skew generalized power series ⋮ Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Cites Work

• Unnamed Item
• Principal quasi-Baerness of formal power series rings.
• The ascending chain condition for principal left or right ideals of skew generalized power series rings.
• A new class of unique product monoids with applications to ring theory.
• Fields of generalized power series
• Semisimple rings and von Neumann regular rings of generalized power series
• Polynomial extensions of quasi-Baer rings.
• Triangular matrix representations of rings of generalized power series.
• Twisted matrix units semigroup algebras
• Rings with the minimum condition for principal right ideals have the maximum condition for principal left ideals
• PRINCIPALLY QUASI-BAER RINGS
• ON ORDERED MONOID RINGS OVER A QUASI-BAER RING
• LEFT APP-RINGS OF SKEW GENERALIZED POWER SERIES
• On Von Neumann Regular Rings of Skew Generalized Power Series
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• THE COHN-JORDAN EXTENSION AND SKEW MONOID RINGS OVER A QUASI-BAER RING
• ON ANNIHILATOR IDEALS OF SKEW MONOID RINGS
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• A GENERALIZATION OF PP-RINGS AND p.q.-BAER RINGS
• On annihilator ideals of a polynomial ring over a noncommutative ring

This page was built for publication: Left principally quasi-Baer and left APP-rings of skew generalized power series