NEAR-RINGS

作品数：7被引量：2H指数：1
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相关期刊：《Science Bulletin》《Journal of Mathematical Research with Applications》《Algebra Colloquium》《Wuhan University Journal of Natural Sciences》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 
Authenticated Group Key Agreement Protocol Based on Twist Conjugacy Problem in Near-Rings
《Wuhan University Journal of Natural Sciences》2017年第6期472-476,共5页Devarasan Ezhilmaran Venkatesan Muthukumaran 
Nowadays some promising authenticated group key agreement protocols are constructed on braid groups, dynamic groups, pairings and bilinear pairings. Hence the non-abelian structure has attracted cryptographers to cons...
关键词：group key agreement protocol NEAR-RINGS twist conjugacy search problem 
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 
Characterization of 2-Primal Near-Rings
《Journal of Mathematical Research with Applications》2012年第1期19-25,共7页C.SELVARAJ L.MADHUCHELVI 
In 1999, Kim and Kwak asked one question that ＂Is a ring R 2-primal if Op C P for each P ∈ mSpec（R）？＇. In this paper, we prove that if Op has the IFP for each P ∈ mSpec（N）, then OR C P for each P ∈ mSpec（N...
关键词：2-primal completely prime completely semiprime. 
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） 
ON DERIVATIONS OF PRIME NEAR-RINGS
《Chinese Science Bulletin》1992年第10期874-874,共1页王学宽 
The near-rings in this letter always stand for zero-symmetric left nor-rings. An additive endomorphism D of a near-ring N is called a derivation on N if D(xy) =xD(y) +D(x)y for all x, y ∈ N. A near-ring N is said to ...
关键词：COMMUTATIVE rings derivation symmetric implies letter STAND necessarily ADDITIONS additive 
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