Some algorithmic problems for Poisson algebras

Author:

Zhang Zerui,Chen YuqunORCID,Bokut Leonid A.

Funder

NNSF of China

NSF of Guangdong Province

Science and Technology Program of Guangzhou

South China Normal University

Russian Science Foundation

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference19 articles.

1. Gröbner Bases: A Computational Approach to Commutative Algebra;Becker,1993

2. Gröbner–Shirshov bases for Lie algebras: after A.I. Shirshov;Bokut;Southeast Asian Bull. Math.,2007

3. Gröbner–Shirshov bases and their calculation;Bokut;Bull. Math. Sci.,2014

4. Gröbner–Shirshov bases for Lie algebras over a commutative algebra;Bokut;J. Algebra,2011

5. An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal;Buchberger;J. Symbolic Comput.,2006

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1. Gröbner–Shirshov basis theory and word problems for metatrivial Poisson algebras;São Paulo Journal of Mathematical Sciences;2023-11-08

2. Centroid Hom-associative Algebras and Centroid Hom-Lie Algebras;Acta Mathematica Sinica, English Series;2023-10-17

3. Poisson triple systems;Linear and Multilinear Algebra;2022-03-24

4. On the Special Identities of Gelfand–Dorfman Algebras;Experimental Mathematics;2022-03-21

5. Defining relations and Gröbner–Shirshov bases of Poisson algebras as of conformal modules;Journal of Algebra and Its Applications;2021-03-26

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