On SAGBI bases theory of skew Poincaré-Birkhoff-Witt extensions

In this paper we present a first approach toward a \texttt{SAGBI} bases theory of skew Poincaré-Birkhoff-Witt extensions, and investigate the problem of polynomial composition for \texttt{SAGBI} bases of subalgebras of these extensions.

Publication Details

Journal
ArXiv.org
Published
2025-08-14
Primary Topic
Educational Robotics and Engineering
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article
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article

On SAGBI bases theory of skew Poincaré-Birkhoff-Witt extensions

ArXiv.org
Educational Robotics and Engineering
article

On SAGBI bases theory of skew Poincaré-Birkhoff-Witt extensions

article en

Abstract

In this paper we present a first approach toward a \texttt{SAGBI} bases theory of skew Poincaré-Birkhoff-Witt extensions, and investigate the problem of polynomial composition for \texttt{SAGBI} bases of subalgebras of these extensions.

ArXiv.org
Openalex Percentile: Top 73%
Educational Robotics and Engineering
Open Access PDFOpenAlex
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On SAGBI bases theory of skew Poincaré-Birkhoff-Witt extensions · ArXiv.org (2025) | TGRS Research Map | TGRS