Results 11 to 20 of about 316,648 (204)
, 1970 The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
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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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The Galois Theory of Matrix C-rings [PDF]
Applied Categorical Structures, 2006 27 pages ...
Tomasz Brzezinski, Ryan B. Turner
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
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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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Factor equivalence of Galois modules and regulator constants [PDF]
, 2013 We compare two approaches to the study of Galois module structures: on the one hand, factor equivalence, a technique that has been used by Fröhlich and others to investigate the Galois module structure of rings of integers of number fields and of their ...
Bartel, Alex, Alex Bartel
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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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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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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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