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On Ramanujan Sums over a Dedekind Domain with Finite Norm Property
《Acta Mathematica Sinica,English Series》2023年第1期149-160,共12页Zhi Yong ZHENG Man CHEN Zi Wei HONG 
Supported by the National Research and Development Program of China(Grant No.2018YFB1107402)。
In this paper,we consider Ramanujan’s sums over arbitrary Dedekind domain with finite norm property.We define the Ramanujan’s sumsη(a,A)andη(B,A),where a is an arbitrary element in a Dedekind domain,B is an ideal ...
关键词：Dedekind domains Ramanujan Sums primitive additive character reciprocity formula orthogonality property 
On Word Equations Originated from Discrete Dynamical Systems Related to Antisymmetric Cubic Maps with Some Applications
《Acta Mathematica Sinica,English Series》2018年第11期1663-1676,共14页Elias ABBOUD 
supported by Beit Berl College
In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we cha...
关键词：Word equation broken alternating word primitive word greatest word parity-lexicographic order 
A Recursive Basis for Primitive Forms in Symplectic Spaces and Applications to Heisenberg Groups
《Acta Mathematica Sinica,English Series》2016年第3期265-285,共21页Annalisa BALDI Marilena BARNABEI Bruno FRANCHI 
Supported by University of Bologna;funds for selected research topics;supported by the Gruppo Nazionale per l’Analisi Matematica,la Probabilita e le loro Applicazioni(GNAMPA)of the Istituto Nazionale di Alta Matematica(INdA M);supported by P.R.I.N.of M.I.U.R.,Italy
This paper is divided in two parts： in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space（V^（2n）, ω）. Successively, in Section 3, we apply our construction in the se...
关键词：Symplectic manifolds differential forms Heisenberg groups combinatorial functions 
Line-primitive Linear Spaces with Fang-Li Parameter gcd（k,r） at Most 12被引量：2
《Acta Mathematica Sinica,English Series》2011年第4期657-670,共14页Sheng Lin ZHOU Yan Bo MA Wei Dong FANG 
Let G be a subgroup of the automorphism group of a non-trivial finite linear space $. In this paper we prove that if G is line-primitive with Fang-Li parameter gcd（k, r） = 11 and 12, then G is also point-primitive. ...
关键词：Finite linear spaces line-primitive point-imprimitive 
Exponential Sums over Primes Formed with Coefficients of Primitive Cusp Forms
《Acta Mathematica Sinica,English Series》2009年第4期687-692,共6页Hui Xue LAO 
This work is supported by the National Natural Science Foundation of China （Grant No. 10701048）
Let Af（n） be the coefficient of the logarithmic derivative for the Hecke L-function. In this paper we study the cancellation of the function Ay（n） twisted with an additive character e（α√n）, α 〉0, i.e. Ef（x...
关键词：Fourier coefficient of cusp forms exponential sums Hecke L-function 
Exchange Rings Generated by Their Units
《Acta Mathematica Sinica,English Series》2007年第2期357-364,共8页Huan Yin CHEN 
Supported by Natural Science Foundation of Hunan Province(04JJ40003)
Let R be an exchange ring with primitive factors artinian. We prove that there exists a u∈U（R） such that 1R ± u ∈ U（R）, if and only if for any a ∈ R, there exists a u ∈ U（R） such that a ± u∈ U（R）. Phrth...
关键词：exchange ring primitive factors artinian strongly π-regular ring 
The Proof of Inseparable Prime AW^＊—Algebras Being Primitive C^＊—Algebras
《Acta Mathematica Sinica,English Series》2003年第2期413-416,共4页LunChuanZHANG 
The relation between the inseparable prime C*-algebras and primitive C*-algebras is studied, and we prove that prime AW*-algebras are all primitive C*-algebras.
关键词：Prime C* ALGEBRAS Primitive C* ALGEBRAS AW* ALGEBRAS Hereditary C* SUBALGEBRAS 
Graded Antisimple Primitive Radical
《Acta Mathematica Sinica,English Series》2002年第3期505-512,共8页Jun Chao WEI Li Bin LI Department of Mathematics, College of Science. Yangzhou University. Yangzhon 225002, P. R. China 
Project supported by the National Natural Science Foundation of China (No: 19971073);the Natural Science Foundation of Jiangsu Province.
We introduce the graded version of the antisimple primitive radical SJ, the graded an- tisimple prinfitive radical SJ_G. We show that SJ_G=SJ_(ref)=SJ^G when |G|<∞. where SJ_(ref) denotes the reflected antisimple pri...
关键词：Graded antisimple primitive radical Graded subdirectly irreducible graded primitive ring Graded supplementing radical 
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