论文标题
从Gröbner基础理论的角度重新审视的广义下调代数
Generalized Down-up Algebras Revisited from A Viewpoint of Gröbner Basis Theory
论文作者
论文摘要
从Gröbner基础理论的角度重新审视了所谓的广义下调代数。 Particularly it is shown explicitly that generalized down-up algebras are solvable polynomial algebras (provided $λω\ne 0$), and by means of homogeneous Gröbner defining relations, the associated graded structures of generalized down-up algebras, namely the associated graded algebras, Rees algebras, and the homogenized algebras of generalized down-up algebras, are explored全面。
The so called generalized down-up algebras are revisited from a viewpoint of Gröbner basis theory. Particularly it is shown explicitly that generalized down-up algebras are solvable polynomial algebras (provided $λω\ne 0$), and by means of homogeneous Gröbner defining relations, the associated graded structures of generalized down-up algebras, namely the associated graded algebras, Rees algebras, and the homogenized algebras of generalized down-up algebras, are explored comprehensively.
