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Structures of finite fields of primes and the Euclidean square roots of unity in the finite rings
Cryptography and CommunicationsThe authors study the graph of the square mapping \(x\to x^{2}\) on a prime field \(\mathbb Z_{s}\) for an odd prime \(s\), and on the ring \(\mathbb Z_{sp}\), where \(s\) and \(p\) are two distinct prime odd numbers. The vertices of this graph for a commutative ring \(R\) are the elements of \(R\), and the directed edges are the directed pairs ...
Nikolaos Verykios, Christos Gogos
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On the structure of digraphs of polynomial transformations over finite commutative rings with unity
Discrete Mathematics and Applications, 2018Abstract The paper describes structural characteristics of the digraph of an arbitrary polynomial transformation of a finite commutative ring with unity. A classification of vertices of the digraph is proposed: cyclic elements, initial elements, and branch points are described. Quantitative results on such objects
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Rings with multiple left unities
Communications in Algebra, 1984J.B. Derr, Paul S. Peck
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A Note on Embedding Commutative Rings in Rings with Unity
The American Mathematical Monthly, 1966openaire +1 more source
A module-theoretic characterisation of rings with unity
Acta Mathematica Academiae Scientiarum Hungaricae, 1978openaire +1 more source
The Ring of Consilience: Unity of Knowledge -The Re-evaluation of Social Sciences
2003Prikaz triju modela sjedinjenja znanja nastala u proteklih petnaest godina s tendencijom konceptualne, metodološke i epistemološke integracije društvenih znanosti s biološkim.
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Orders for Finite Noncommutative Rings with Unity
The American Mathematical Monthly, 1968openaire +1 more source