Non-commutative Gröbner bases for commutative algebras

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Non-commutative Gröbner Bases for Commutative Algebras

An ideal I in the free associative algebra k〈X1, . . . ,Xn〉 over a field k is shown to have a finite Gröbner basis if the algebra defined by I is commutative; in characteristic 0 and generic coordinates the Gröbner basis may even be constructed by lifting a commutative Gröbner basis and adding commutators.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1998

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-98-04229-4