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Diagonal invariant ideal. of Toeplitz algebras on discrete groups

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Science China Mathematics 2002年第4期45卷 462-469页

作者：许庆祥 Department of Mathematics Shanghai Normal University Shanghai China

Diagonal invariant ideal. of Toeplitz algebras defined on discrete groups are introduced and studied. In terms of isometric representations of Toeplitz algebras associated with quasi-ordered groups, a character of a discrete group to be amenable is clarified. It is proved that when G is Abelian, a closed two-sided non-trivial ideal.of the Toeplitz algebra defined on a discrete Abelian ordered group is diagonal invariant if and only if it is invariant in the sense of Adji and Murphy, thus a new proof of their result is given.

关键词： discrete ordered group, Toeplitz algebra, diagonal invariant ideal.

Computation of generalized real radicals of polynomial ideal.

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Science China Mathematics 1999年第3期42卷 272-280页

作者：曾广兴 Department of Mathematics Nanchang University Nanchang China

For an ordered field (K,T) and an ideal. of the polynomial ring $K\left[ {x_1 , \cdots ,x_n } \right]$ , the construction of the generalized real radical $^{\left( {T,U,W} \right)} \sqrt I $ ofI is investigated. When (K,T) satisfies some computational requirements, a method of computing $^{\left( {T,U,W} \right)} \sqrt I $ is presented.

关键词： computational algebraic geometry polynomial ideal generalized real radical ( T U W)-radical ideal.

Product of spaces of doubly periodic arrays

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Science China(Technological Sciences) 1997年第4期40卷 337-342页

作者：胡磊 Institute of Mathematics and Information Security Guangzhou Normal University Guangzhou 510400 China

A characterization of the space generated by the Hadamard product of doubly periodic arrays is presented, and the results of Zierler and Mills are extended to higher dimensions.

关键词： doubly periodic array Hadamard product type ideal.

A COMPLETE DETERMINATION OF THE CUBIC CYCLIC EXTENSION FIELDS OF NUMBER FIELDS

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Chinese Science Bulletin 1989年第12期34卷 973-976页

作者：蓝以中 Department of Mathematics Peking University

The fundamental topic of algebraic number theory is to determine all Galois extension fields of a number field. The class field theory determines all Abelian extension fields of a number field on theoretical, but it is not concrete. The author has studied the arithmetic properties of cubic cyclic extensions of number fields in [1, 2]. In this report, we determine all cubic cyclic extension fields of any number field K.

关键词： number field cubic cyclic extension splitting completely prime ideal.

THE MINIMAL CHARACTERISTIC BASIS OF A DIFFERENTIAL POLYNOMIAL ideal

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Chinese Science Bulletin 1990年第6期35卷 455-458页

作者：高小山 Institute of Systems Science Academia Sinica Beijing 100080 PRC

Ⅰ. DEFINITION OF MINIMAL CHARACTERISTIC BASISLet K be a field of characteristic zero, and X1,…, Xn be variables fixed in what follows. Let K{X1,…, Xn} be the set of differential polynomials (abbr. dpols ) in X1,…,Xn.

关键词： differential algebra basic set minimal characteristic basis prime differential polynomial ideal.

THE EQUIVALENCE CLASSES OF LRS OVER Z_p^e

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Systems Science and Mathematical Sciences 1998年第2期11卷 175-180页

作者： ZHU Yuefei(Department of APPlied Mathematics, Zhengzhou InformationEngineering institute, Zhengzhou 450002, China) 解放军信息工程学院应用数学系河南郑州 450002

In this paper, we discuss the counting of translation equivalellce classes oflinear recurrence sequences over Zap. For more general linear recurrence relation, we countthe number of translation equivalent classes of l... 详细信息

关键词： Sequence translation equivalence module ideal.