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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2021 Volume 32, Issue 1, Pages 76–102 (Mi adm808)

This article is cited in 3 papers

RESEARCH ARTICLE

Skew PBW extensions over symmetric rings

A. Reyesa, H. Suárezb

a Department of Mathematics, Faculty of Science, Universidad Nacional de Colombia, Sede Bogotá
b School of Mathematics and Statistics, Faculty of Science, Universidad Pedagógica y Tecnológica de Colombia, Tunja

Abstract: Our purpose in this paper is to characterize skew PBW extensions over several weak symmetric rings. As a consequence of our treatment, we extend results in the literature concerning the property of symmetry for commutative rings and skew polynomial rings.

Keywords: symmetric ring, noncommutative ring, skew PBW extension.

MSC: Primary 16S36, 16S38; Secondary 14A22, 16T20

Received: 14.02.2021

Language: English

DOI: 10.12958/adm1767



© Steklov Math. Inst. of RAS, 2024