Rota–Baxter operators on skew generalized power series rings

DOI10.1142/S0219498814500480zbMath1297.16044MaRDI QIDQ2874712

Ryszard Mazurek

Publication date: 8 August 2014

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

zbMATH Keywords

Rota-Baxter operatorsRota-Baxter algebrasstrictly ordered monoidsskew generalized power series 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) Generalizations of commutativity (associative rings and algebras) (16U80) Formal power series rings (13F25) Ring-theoretic aspects of quantum groups (16T20)

Related Items (5)

Monomial Rota-Baxter operators of nonzero weight on \(F[x, y\) coming from averaging operators] ⋮ Monomial Rota-Baxter operators on free commutative non-unital algebra ⋮ Rota-type operators on 3-dimensional nilpotent associative algebras ⋮ Rota-type operators on null-filiform associative algebras ⋮ Rota-Baxter operators on unital algebras

Cites Work

• Right Gaussian rings and skew power series rings.
• Weak dimension and right distributivity of skew generalized power series rings.
• The ascending chain condition for principal left or right ideals of skew generalized power series rings.
• Semisimple rings and von Neumann regular rings of generalized power series
• On zip and weak zip rings of skew generalized power series.
• Uniserial rings of skew generalized power series.
• Triangular matrix representations of rings of generalized power series.
• On Von Neumann Regular Rings of Skew Generalized Power Series
• A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS
• ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS
• RADICALS OF SKEW GENERALIZED POWER SERIES RINGS

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