scholarly journals Finite rings in which commutativity is transitive

2009 ◽  
Vol 162 (2) ◽  
pp. 143-155 ◽  
Author(s):  
David Dolžan ◽  
Igor Klep ◽  
Primož Moravec
Keyword(s):  
Finite Rings

scholarly journals Quotient rings of Noetherian module finite rings

1994 ◽  
Vol 121 (2) ◽  
pp. 335-335 ◽  
Author(s):  
A. W. Chatters ◽  
C. R. Hajarnavis
Keyword(s):  
Finite Rings ◽  
Noetherian Module ◽  
Quotient Rings

scholarly journals Public-key cryptosystem based on invariants of diagonalizable groups

2017 ◽  
Vol 9 (1) ◽  
Author(s):  
František Marko ◽  
Alexandr N. Zubkov ◽  
Martin Juráš
Keyword(s):  
Linear Algebra ◽  
Finite Fields ◽  
Number Fields ◽  
Euclidean Algorithm ◽  
Public Key ◽  
Public Key Cryptosystem ◽  
Finite Rings

AbstractWe develop a public-key cryptosystem based on invariants of diagonalizable groups and investigate properties of such a cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on the Euclidean algorithm).

Finite rings with exactly two maximal subrings

2011 ◽  
Vol 55 (6) ◽  
pp. 46-52 ◽  
Author(s):  
S. S. Korobkov
Keyword(s):  
Finite Rings

Fault-tolerant computations over replicated finite rings

2003 ◽  
Vol 50 (7) ◽  
pp. 858-864 ◽  
Author(s):  
L. Imbert ◽  
V.S. Dimitrov ◽  
G.A. Jullien
Keyword(s):  
Fault Tolerant ◽  
Finite Rings

scholarly journals New quantum codes from dual-containing cyclic codes over finite rings

2016 ◽  
Vol 15 (11) ◽  
pp. 4489-4500 ◽  
Author(s):  
Yongsheng Tang ◽  
Shixin Zhu ◽  
Xiaoshan Kai ◽  
Jian Ding
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes ◽  
Finite Rings

Conjugating polynomials on finite rings

1994 ◽  
Author(s):  
M. Insall ◽  
L. Mullin ◽  
R. Wilkerson
Keyword(s):  
Finite Rings

Representation of Some Finite Rings by Matrices Over Commutative Rings

2014 ◽  
Vol 53 (4) ◽  
pp. 287-297
Author(s):  
A. Mekei ◽  
L. Oyuuntsetseg
Keyword(s):  
Commutative Rings ◽  
Finite Rings

On the functional equation $$f(x) = \sum\limits_{j = 0}^{k - 1} {f((x + j)/k)} $$ over finite rings

1975 ◽  
Vol 13 (3) ◽  
pp. 229-232 ◽  
Author(s):  
L. J. Dickey ◽  
H. -H. Kairies ◽  
H. S. Shank
Keyword(s):  
Functional Equation ◽  
Finite Rings
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