Recognizing the Semiprimitivity of ℕ-graded Algebras via Gröbner Bases

DOI10.1142/S1005386715000413zbMath1325.16037arXiv1110.2248MaRDI QIDQ2949741

Huishi Li

Publication date: 2 October 2015

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

Full work available at URL: https://arxiv.org/abs/1110.2248

zbMATH Keywords

graded algebrasmonomial algebrassemiprimitive algebrasUfnarovski graphshomogeneous Gröbner bases

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Computational aspects of associative rings (general theory) (16Z05) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (1)

On the semiprimitivity of finitely generated algebras

Cites Work

• On recognisable properties of associative algebras
• The diamond lemma for ring theory
• An introduction to commutative and noncommutative Gröbner bases
• On the Calculation of gl.dim G^ℕ(A) and ${\rm gl.dim}\, \widetilde{A}$ by Using Gröbner Bases

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