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On the Error Term for the Number of Solutions of Certain Congruences
《Chinese Quarterly Journal of Mathematics》2017年第3期271-276,共6页ZHANG Yi-feng SHI San-ying 
Supported by National Natural Science Foundation of China（11201107）
Let f(x) be an irreducible polynomial of degree m ≥ 2 with integer coefficients,and let r(n) denote the number of solutions x of the congruence f(x) ≡ 0(mod n) satisfying0 ≤ x < n. Define ?(x) =Σ 1≤n≤x r(n)-αx,...
关键词：Dedekind zeta function polynomial congruence mean square 
Rectangular Ring Congruences on an E-inversive Semiring
《Chinese Quarterly Journal of Mathematics》2014年第4期529-538,共10页CHENG Zi-qiang ZHOU Yuan-lan PAN Shi-ju 
Supported by the National Natural Science Foundation of China（10961014,11101354）; Supported by the Natural Science Foundation of Jiangxi Province（0611051）; Supported by the Science Foundation of the Education Department of Jiangxi Province（GJ 09459）
In this paper, we discussed the property of rectangular band semiring congruence and ring congruence on a semiring and gave some characterizations and structure of rectangular ring congruence on an E-inversive semiring.
关键词：CONGRUENCE band semiring E-inversive semiring 
Congruences and Ideals of Ockham Algebras with de Morgan Skeleton
《Chinese Quarterly Journal of Mathematics》2013年第3期338-344,共7页FANG Jie WANG Lei-bo 
In this note, we study of those congruences on an Ockham algebra with de Morgan skeleton that the quotient algebras belong to the class of de Morgan algebras. We particularly give a description of those kernel ideals ...
关键词：Ockham algebra de Morgan algebra CONGRUENCE kernel ideal 
On a Restrict m-ary Partition Function
《Chinese Quarterly Journal of Mathematics》2012年第2期165-168,共4页CHEN Shi-chao CHE Ying-tao 
Foundation item： Supported by the National Natural Science Foundation of China（11101123）; Supported by the Natural Science Foundation of Education Department of Henan Province（2009A110001）
Let n,m,k be positive integers and b_(m,k) be the number of representations of n as n = m^(a_0) + m^(a_1) + ··· + m^(a_j) with 0 ≤ a_0 ≤ a_1 ≤···≤ a_j < k.In this note,we obtain some congruences and distribu...
关键词：m-ary partition CONGRUENCE 
ω-Extension of Bicyclic Semigroup
《Chinese Quarterly Journal of Mathematics》2009年第3期415-419,共5页朱雯 詹亮 
Supported by the NNSF of China(60473030;60773035)
In this paper, we discussed w-extension of bicyclic semigroups. Two types of this extension are proposed. In §2 we discussed strong semilattice extension and the structure of the extension is well presented. In §3 w...
关键词：bicyclic semigroup strong semilatlice group congruence pure idempotent congruence 
A Note on 0-F-inverse Semigroups
《Chinese Quarterly Journal of Mathematics》2006年第2期252-254,共3页CHEN Li-min 
In this paper, we introduce O-F-inverse semigroups and characterize O-F-inverse categorical semigroups by using their minimal primitive congruence β.
关键词：0-F-inverse semigroups E^＊-unitary semigroup minimal primitive congruence 
Divisible Semiring Congruences on Distributive Semiring被引量：2
《Chinese Quarterly Journal of Mathematics》2003年第4期406-409,共4页李善海 李师正 
In this paper, we describe all the divisible semiring congruences on a distributive semiring S and also establish a one_to_one, inclusion_preserving mapping from the set of full, closed, self_conjagate, ideal subsemir...
关键词：SEMIRING divisible semiring distributive semiring semiring congruence divisible semiring congruence 
The Least Distributive Lattice Congruence on Commutative Distributive Semiring被引量：7
《Chinese Quarterly Journal of Mathematics》2003年第1期35-43,共9页LI Shi-zheng,LI Shan-hai,YU Xiao-ming (Department of Mathematics, Shandong Normal University, Shandong 250014,China) 
In this paper, we describe the least distributive lattice congruence on a commutative distributive semiring.
关键词：SEMIRING commutative distributive semiring distributive lattice congruence 
On Infinite Disjoint Congruence Covering Systems被引量：1
《Chinese Quarterly Journal of Mathematics》1996年第3期36-39,共4页陈永高 
Supported by the National Natural Science Foundation of China;Fok Y ing Tung Education foundtion.
In this paper we show that for any α∈(0,l] there exists an infinite disjoint covering system {a1(modni)}i=1∞ such that
关键词：congruence class covering system 
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