scholarly journals On relative commuting probability of finite rings

2019 ◽  
Vol 20 (1) ◽  
pp. 225
Author(s):  
Parama Dutta ◽  
Rajat Kanti Nath
Keyword(s):  
Finite Rings ◽  
Commuting Probability

scholarly journals Some bounds for commuting probability of finite rings

2018 ◽  
Vol 129 (1) ◽  
Author(s):  
Dhiren Kumar Basnet ◽  
Jutirekha Dutta
Keyword(s):  
Finite Rings ◽  
Commuting Probability

scholarly journals On commuting probability of finite rings

2017 ◽  
Vol 28 (2) ◽  
pp. 372-382 ◽  
Author(s):  
Jutirekha Dutta ◽  
Dhiren Kumar Basnet ◽  
Rajat Kanti Nath
Keyword(s):  
Finite Rings ◽  
Commuting Probability

A generalization of commuting probability of finite rings

2018 ◽  
Vol 11 (02) ◽  
pp. 1850023 ◽  
Author(s):  
Parama Dutta ◽  
Rajat Kanti Nath
Keyword(s):  
Commutative Ring ◽  
Finite Rings ◽  
Commuting Probability

The aim of this paper is to study the probability that the commutator of an arbitrarily chosen pair of elements, each from two different additive subgroups of a finite non-commutative ring equals a given element of that ring. We obtain several results on this probability including a computing formula, some bounds and characterizations.

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

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 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
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