Jacobson’s Lemma via Gröbner-Shirshov Bases

DOI10.1142/S1005386717000189zbMath1375.15006arXiv1702.06271OpenAlexW2963420914WikidataQ125029046 ScholiaQ125029046MaRDI QIDQ5267959

Xiangui Zhao

Publication date: 13 June 2017

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

Full work available at URL: https://arxiv.org/abs/1702.06271

zbMATH Keywords

inverseGröbner-Shirshov basisJacobson's lemma

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Cites Work

• Jacobson's lemma for the generalized Drazin inverse
• On Jacobson's lemma and Drazin invertibility.
• Gelfand-Kirillov Dimensions of Modules over Differential Difference Algebras
• UNIT-REGULARITY AND STABLE RANGE ONE
• GENERALIZED INVERSES OF A SUM IN RINGS
• Extensions of Jacobson's Lemma
• Gröbner–Shirshov bases and their calculation

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