Results 11 to 20 of about 3,327,591 (338)
Theory on Duplicity of Finite Neutrosophic Rings [PDF]
Neutrosophic Sets and Systems, 2023 This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring and neutrosophic duplex ring by way of various illustrations.
T. Chalapathi +3 more
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The Equivalence Problem for Finite Rings
Journal of Symbolic Computation, 1993 The equivalence problem (e.p.) for a ring is the problem of determining when two ring terms define the same function on the ring. Whereas \textit{H. B. Hunt} and \textit{R. E. Stearns} have earlier proved [ibid. 10, 411-436 (1990; Zbl 0724.68050)] for a finite ring \(R\) that: \(R\) is nilpotent implies the e.p.
Stanley Burris, John Lawrence
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Classification of finite rings: Theory and algorithm [PDF]
Czechoslovak Mathematical Journal, 2014 summary:An interesting topic in the ring theory is the classification of finite rings. Although rings of certain orders have already been classified, a full description of all rings of a given order remains unknown.
M. Behboodi +3 more
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The Mathematical Safe Problem and Its Solution (Part 2)
Кібернетика та комп'ютерні технології, 2021 Introduction. The problem of mathematical safe arises in the theory of computer games and cryptographic applications. The article considers numerous variations of the mathematical safe problem and examples of its solution using systems of linear ...
Sergii Kryvyi, Hryhorii Hoherchak
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The Mathematical Safe Problem and Its Solution (Part 1)
Кібернетика та комп'ютерні технології, 2020 Introduction. The problem of the mathematical safe arises in the theory of computer games and cryptographic applications. The article considers the formulation of the mathematical safe problem and the approach to its solution using systems of linear ...
S. Kryvyi, H. Hoherchak
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LAPLACIAN SPECTRUM AND ENERGY OF NON-COMMUTING GRAPHS OF FINITE RINGS [PDF]
Journal of Algebraic SystemsWe compute spectrum, energy, Laplacian spectrum/ energy and signless Laplacian spectrum/energy of non-commuting graphs of certain finite non-commutative rings. In particular, we consider finite rings $R$ such that $|R| = p^2, p^3, p^4$, $p^5$, $p^2q$ and
Monalisha Sharma, Rajat Nath
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Linear codes and cyclic codes over finite rings and their generalizations: a survey
Electronic Journal of Graph Theory and Applications, 2023 We survey a recent progress of cyclic codes over finite rings and their generalization to skew cyclic as well as skew cyclic codes with derivation over finite rings, focusing on structural properties of the codes.
Djoko Suprijanto
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A commutativity‐or‐finiteness condition for rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We show that a ring with only finitely many noncentral subrings must be either commutative or finite.
Abraham A. Klein, Howard E. Bell
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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On Power Graph of Some Finite Rings [PDF]
Mathematics Interdisciplinary Research, 2023 Consider a ring $R$ with order $p$ or $p^2$, and let $\mathcal{P}(R)$ represent its multiplicative power graph. For two distinct rings $R_1$ and $R_2$ that possess identity element 1, we define a new structure called the unit semi-cartesian ...
Masoumeh Soleimani, Mohamad Hasan Naderi
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