Results 21 to 30 of about 861,658 (327)

Neutrosophic Rings [PDF]

, 2006
This book has four chapters. Chapter one is introductory in nature, for it recalls some basic definitions essential to make the book a self-contained one.
Kandasamy, W. B. Vasantha, Smarandache, Florentin   +1 more
core   +3 more sources

Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups [PDF]

, 1993
We introduce and study action of quantum groups on skew polynomial rings and related rings of quotients. This leads to a ``q-deformation'' of the Gel'fand-Kirillov conjecture which we partially prove. We propose a construction of automorphisms of certain
A. Joseph, B. Feigin, C. Concini De, F. Malikov, F.G. Malikov, Feodor Malikov, G. Gasper, G. Lusztig, I.B. Frenkel, I.M. Gelfand, I.M. Gelfand, J. Lepowski, J.C. McConnell, K. Amoto, Kenji Iohara, M. Wakomoto, P. Bouwknegt, P. Bouwknegt, P. Furlan, V.G. Kac, V.G. Kac   +20 more
core   +2 more sources

Group extensions and automorphism group rings [PDF]

Homology, Homotopy and Applications, 2003
The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
Martino, John, Priddy, Stewart
openaire   +4 more sources

[μ-3,3′-Bis(tri­hydro­bor­yl)[3]ferroceno­phane]bis­(chlorido­zirconocene) [PDF]

, 2013
The title compound, [FeZr2(C5H5)4Cl2(C13H18B2)], is a heteronuclear complex that consists of a [3]ferrocenophane moiety substituted at each cyclo­penta­dienyl (Cp) ring by a BH3 group; the BH3 group is bonded via two H atoms to the Zr atom of the ...
Bolte, Michael, Lerner, Hans-Wolfram, Reichert, Adelina, Wagner, Matthias   +3 more
core   +2 more sources

LCD codes and LCP of codes from units of group rings

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
A linear code with complementary dual(LCD) is a linear code such that LCD codes are of greatimportance due to their wide range of applications in consumer electronics,storage systems and cryptography. Group rings have a rich source of units. Alsothe well-
Mehmet Emin Köroğlu
doaj   +1 more source

Public Key Protocols over Skew Dihedral Group Rings

Mathematics, 2022
This paper introduces skew dihedral group rings and their applications for public-key cryptography. We present a specific skew group ring that is the underlying algebraic platform for our cryptographic constructions.
Javier de la Cruz, Edgar Martínez-Moro, Ricardo Villanueva-Polanco   +2 more
doaj   +1 more source

Public Key Exchange Using Matrices Over Group Rings [PDF]

, 2013
We offer a public key exchange protocol in the spirit of Diffie-Hellman, but we use (small) matrices over a group ring of a (small) symmetric group as the platform.
Kahrobaei, Delaram, Koupparis, Charalambos, Shpilrain, Vladimir   +2 more
core   +2 more sources

Group rings for communications [PDF]

International Journal of Group Theory, 2015
This is a survey of some recent applications of abstract algebra, and in particular group rings, to the `communications' areas.
Ted Hurley
doaj  

On separable extensions of group rings and quaternion rings

International Journal of Mathematics and Mathematical Sciences, 1978
The purposes of the present paper are (1) to give a necessary and sufficient condition for the uniqueness of the separable idempotent for a separable group ring extension RG(R may be a non-commutative ring), and (2) to give a full description of the set ...
George Szeto
doaj   +1 more source

Morphic group rings

Journal of Pure and Applied Algebra, 2006
An associative ring \(R\) with identity is called left morphic if for every element \(a\in R\) there exists \(b\in R\) such that \(l_R(a)=Rb\) and \(l_R(b)=Ra\), where \(l_R(a)\) denotes the left annihilator of \(a\) in \(R\). The ring \(R\) is said to be strongly left morphic if every matrix ring \(M_n(R)\) is left morphic [\textit{W. K.
Chen, Jianlong, Li, Yuanlin, Zhou, Yiqiang   +2 more
openaire   +2 more sources