NEAR-RING

作品数：7被引量：3H指数：1
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相关领域：理学更多>>
相关作者：宋眉眉更多>>
相关机构：天津理工学院河北大学更多>>
相关期刊：《Applied Mathematics》《Algebra Colloquium》《Advances in Pure Mathematics》《Applied Mathematics(A Journal of Chinese Universities)》更多>>
相关基金：国家自然科学基金湖北省自然科学基金更多>>
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An Introduction to the Theory of Matrix Near-Rings
《Advances in Pure Mathematics》2023年第2期71-95,共25页Saviour Chibeti Iness Kyapwanyama 
Matrix rings are prominent in abstract algebra. In this paper we give an overview of the theory of matrix near-rings. A near-ring differs from a ring in that it does not need to be abelian and one of the distributive ...
关键词：NEAR-RINGS First Near-Ring Isomorphism Zero Symmetric Near-Ring Near-Ring Module and Matrix Near-Rings 
A Note on the Commutativity of Prime Near-rings被引量：1
《Algebra Colloquium》2015年第3期361-366,共6页Yilun Shang 
Let N be a prime near-ring. We show two main results on the commutativity of N： （1） If there exist k, l ∈ N such that N admits a generalized derivation D satisfying either D（[x,y]） = xk[x,y]xl for all x,y ∈ N o...
关键词：NEAR-RING DERIVATION prime graph 
Commutativity of Near-rings with Derivations被引量：1
《Algebra Colloquium》2014年第2期215-230,共16页Ahmed A.M. Kamal Khalid H. AI-Shaalan 
In this paper we first prove that a near-ring admits a derivation if and only if it is zero-symmetric. Also, we prove some commutativity theorems for a non-necessarily 3-prime near-ring R with a suitably-constrained d...
关键词：NEAR-RINGS DERIVATIONS 3-prime near-ring non-left zero-divisors commuta-tivity of near-rings 
An Application of Linear Automata to Near Rings
《Applied Mathematics》2012年第11期1614-1618,共5页Songfa You Yijun Feng Ming Cao Yaping Wei 
In this paper , we have established an intimate connection between near-nings and linear automata,and obtain the following results: 1) For a near-ring N there exists a linear GSA S with N ≌ N(S) iff (a) (N, +) is abe...
关键词：LINEAR AUTOMATA Accessible GSA-Homomorphism NEAR-RING 
Redefined generalized fuzzy ideals of near-rings被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2010年第3期341-348,共8页ZHAN Jian-ming YIN Yun-qiang 
Supported by the National Natural Science Foundation of China(60875034);the Natural Science Foundation of Education Committee of Hubei Province(D20092901),the Natural Science Foundation of Hubei Province(2009CDB340)
With a new idea, we redefine generalized fuzzy subnear-rings （ideals） of a near- ring and investigate some of its related properties. Some new characterizations are given. In particular, we introduce the concepts of...
关键词：NEAR-RING subnear-ring （ideal） （∈^- ∈^-∨ q^-）-fuzzy subnear-ring （ideal） prime （semiprime） （∈ ∈∨ q）-fuzzy subnear-ring （ideal）. 
Generalized fuzzy ideals of near-rings被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2009年第3期343-349,共7页ZHAN Jian-ming Davvaz B. 
Supported by the National Natural Science Foundation of China (60875034);the Natural Science Foundationof Education Committee of Hubei Province (D20092901;Q20092907;D20082903;B200529001);the NaturalScience Foundation of Hubei Province (2008CDB341)
The concept of（∈,∈∨q）-fuzzy subnear-rings（ideals） of a near-ring is introduced and some of its related properties are investigated.In particular,the relationships among ordinary fuzzy subnear-rings（ideals）,（...
关键词：NEAR-RING subnear-ring （ideal） （∈ ∈ ∨ q）-fuzzy subnear-ring （ideal） （∈ ∈∨ q）-fuzzy subnear-ring（ideal） 
关于近环(Near-ring)是可换环的几个定理
《天津理工学院学报》1999年第1期48-50,共3页宋眉眉 
本文主要讨论了有单位元或无零因子的分配生成近环，以及满足无零因子。
关键词：近环 分配生成近环 H-近环 可换环 单位元 
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