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Finite Abelian Groups with the Strong Endomorphism Kernel Property被引量：1: 《Acta Mathematica Sinica,English Series》2020年第9期1076-1082,共7页Jie FANG Zhong Ju SUN; The authors would like to express their appreciation to the referee for helpful comments and suggestions.; An endomorphism h of a group G is said to be strong whenever for every congruenceθon G,(x,y)∈θimplies(h(x),h(y))∈θfor every x,y∈G.A group G is said to have the strong endomorphism kernel property if every congru...; 关键词：Strong ENDOMORPHISM KERNEL PROPERTY CONGRUENCE ABELIAN GROUP cyclic GROUP

Arithmetic Properties for Cubic Partition Pairs Modulo Powers of 3: 《Acta Mathematica Sinica,English Series》2017年第11期1504-1512,共9页Shane CHERN; Let b（n） denote the number of cubic partition pairs of n. In this paper, we aim to provide a strategy to obtain arithmetic properties of b（n）. This gives affirmative answers to two of Lin＇s conjectures.; 关键词：Cubic partition pair CONGRUENCE

A Subclass of Ockham Algebras被引量：1: 《Acta Mathematica Sinica,English Series》2012年第10期2115-2128,共14页Jie FANG Zhong Ju SUN; Here we introduce a subclass of the class of Ockham algebras （L; f） for which L satisfies the property that for every x ∈ L, there exists n 〉 0 such that fn（x） and f^n＋1（x） are complementary. We characterize ...; 关键词：Boolean algebra Ockham algebra CONGRUENCE congruence coherence subdirectly irre-ducible

On Semilattice Decomposition of an Abel–Grassmann’s Groupoid: 《Acta Mathematica Sinica,English Series》2012年第7期1461-1468,共8页Madad KHAN Saima ANIS; Financially supported by Higher Education Commission of Pakistan; In this paper, we have decomposed an AG-groupoid. Let S be an AG-groupoid with left identity and a relation γ be defined on S as： aγb if and only if there exist positive integers m and n such that b^m∈E （Sa）S an...; 关键词：AG-groupoid invertive law medial law CONGRUENCE

The K°-relation on the Congruence Lattice of a Regular Semigroup with an Inverse Transversal: 《Acta Mathematica Sinica,English Series》2012年第5期1061-1074,共14页Ying Ying FENG Li Min WANG; Let S be a regular semigroup with an inverse transversal S° and C（S） the congruence lattice of S. A relation K° on C（S） is introduced as follows： if p, θ∈ C（S）, then we say that p and 0 are K°-related if K...; 关键词：Regular semigroup inverse transversal CONGRUENCE K°-relation

On a Variant of Giuga Numbers: 《Acta Mathematica Sinica,English Series》2012年第4期653-660,共8页Jos María GRAU Florian LUCA Antonio M. OLLER-MARCN; In this paper, we characterize the odd positive integers n satisfying the congruence ∑j=1^n-1 j n-1/2 We show that the set of such positive integers has an asymptotic densitywhich turns out to be slightly larger than...; 关键词：CONGRUENCE Giuga numbers asymptotic density

Congruence Triples on Regular Semigroups and Their Generalizations: 《Acta Mathematica Sinica,English Series》2011年第8期1611-1620,共10页Li Min WANG Hui Yuan YANG; Supported by National Natural Science Foundation of China （Grant No. 10571061）; In this paper, we introduce the concept of VT-congruence triples on a regular semigroup S and show how such triples can be constructed by nsing the equivalences on S/L, S/R and the special congruences on S. Also, such...; 关键词：Regular semigroup orthodox semigroup orthocryptogroup CONGRUENCE normal equivalence

Congruence Permutable Symmetric Extended de Morgan Algebras: 《Acta Mathematica Sinica,English Series》2006年第3期659-664,共6页Jie FANG; An algebra A is said to be congruence permutable if any two congruences on it are permutable. This property has been investigated in several varieties of algebras, for example, de Morgan algebras, p-algebras, Kn,0-alg...; 关键词：congruence permutable extended Ockham algebra symmetric extended de Morgan algebra

A Note on the Mean Value of Numbers of the Solutions of x~α=1(mod n): 《Acta Mathematica Sinica,English Series》2004年第6期1095-1102,共8页Xiu Yuan YU; Supported by National Natural Science Foundation of China(No.19971024);Zhejiang Provincial Natural Science Foundation of China(No.199047); Let T=T(p,q,α) be the number of solutions of the congruence x~α≡1 (rood p^nq~θ).Let A and B be sets of primes satisfying x_1; 关键词：CONGRUENCE Number of solutions Mean value

The Semigroup Structure of Left Clifford Semirings被引量：14: 《Acta Mathematica Sinica,English Series》2003年第4期783-792,共10页YuQiGUO KarPingSHUM; In this paper, we generalize Clifford semirings to left Clifford semirings bymeans of the so-called band semirings. We also discuss a special case of this kind of semirings,that is, strong distributive lattices of lef...; 关键词：left rings band semirings distributive lattice congruence left Cliffordsemirings

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