Results 11 to 20 of about 330 (178)
Applied Mathematics and Nonlinear Sciences, 2020 Abstract As a cryptosystem, Nth Truncated Polynomial Ring (NTRU) is established on the fast and easy calculation. Improving the security is aimed by enlarging a ring where the processes execute and enhancing the number of a private key and a public key.
Sever, Mehmet +3 more
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The Galois Theory of Matrix C-rings [PDF]
Applied Categorical Structures, 2006 27 pages ...
Tomasz Brzezinski, Ryan B. Turner
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A note on a standard model for Galois rings
Applicable Algebra in Engineering, Communication and Computing, 2023 Submitted to ...
Edgar Martínez-Moro +2 more
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On Galois Extension of Rings [PDF]
Nagoya Mathematical Journal, 1966 Let Λ be a ring and G a finite group of ring automorphisms of Λ. The totality of elements of Λ which are left invariant by G is a subring of Λ. We call it the G-fixed subring of Λ. Let be the crossed product of Λ and G with trivial factor set, i.e. {u0} is a Λ-free basis of Δ and , and let Γ be a subring of the G-fixed subring of Λ which has the same ...
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On Galois Conditions and Galois Groups of Simple Rings [PDF]
Transactions of the American Mathematical Society, 1965 Throughout the present paper, R will be a simple ring, where we shall understand by a simple ring a total matrix ring over a division rings. If S' is any subring containing the identity element 1 of R, we denote by VR(S') the centralizer of S' in R, VR(S') = VR(VR(S')) and by 0 (S', R) we denote the group of all automorphisms of R which are the ...
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Galois actions on rings and finite Galois coverings.
MATHEMATICA SCANDINAVICA, 1989 This paper is devoted to developing a general finite Galois theory for rings which when specialized to finite dimensional algebras over an algebraically closed field gives the Bongartz, Gabriel and Riedtmann theory of finite Galois coverings and when specialized to commutative rings gives the usual Galois theory of commutative rings.
Auslander, M., Reiten, I., Smalo, S.O.
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On a notion of “Galois closure” for extensions of rings [PDF]
Journal of the European Mathematical Society, 2014 We introduce a notion of “Galois closure” for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an S_n degree n
Bhargava, Manjul, Satriano, Matthew
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Galois groups over rational function fields over skew fields
Comptes Rendus. Mathématique, 2020 Let $H$ be a skew field of finite dimension over its center $k$. We solve the Inverse Galois Problem over the field of fractions $H(X)$ of the ring of polynomial functions over $H$ in the variable $X$, if $k$ contains an ample field.
Alon, Gil +2 more
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Generalized affine transformation monoids on Galois rings
International Journal of Mathematics and Mathematical Sciences, 2006 Let A be a ring with identity. The generalized affine transformation monoid Gaff(A) is defined as the set of all transformations on A of the form x↦xu+a (for all x∈A), where u,a∈A.
Yonglin Cao
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An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
Mathematical and Computational Applications, 2018 Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities.
Juan Carlos Ku-Cauich +2 more
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