Composition–Diamond lemma for tensor product of free algebras
نویسندگان
چکیده
منابع مشابه
Composition-Diamond Lemma for Tensor Product of Free Algebras
In this paper, we establish Composition-Diamond lemma for tensor product k〈X〉⊗k〈Y 〉 of two free algebras over a field. As an application, we construct a GröbnerShirshov basis in k〈X〉 ⊗ k〈Y 〉 by lifting a Gröbner-Shirshov basis in k[X]⊗ k〈Y 〉, where k[X] is a commutative algebra.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2010
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2010.02.021