Results 71 to 80 of about 271 (183)
On Galois projective group rings
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
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We discuss the permutation group G of massive vacua of four-dimensional gauge theories with N $$ \mathcal{N} $$ = 1 supersymmetry that arises upon tracing loops in the space of couplings. We concentrate on superconformal N $$ \mathcal{N} $$ = 4 and N $$ \
Antoine Bourget, Jan Troost
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Hochschild–Mitchell cohomology and Galois extensions
21 ...
Herscovich, E., Solotar, A.
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Quantum Universally Composable Oblivious Linear Evaluation [PDF]
Oblivious linear evaluation is a generalization of oblivious transfer, whereby two distrustful parties obliviously compute a linear function, $f (x) = ax + b$, i.e., each one provides their inputs that remain unknown to the other, in order to compute the
Manuel B. Santos +2 more
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Divisor classes in pseudo Galois extensions [PDF]
Let \(R\) be a Krull domain, and let \(S\) be the integral closure of \(R\) in a finite extension of its fraction field. Assume that there is a finite cocommutative Hopf algebra \(H\) acting on \(S\) over \(R\) (in geometric terms, a finite \(R\)-group scheme acting on \(\text{Spec}\,S\)).
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Characterization of Finite Galois Extensions
Summary In this article we prove the well-known characterization of finite Galois extensions: a finite extension E of F is a Galois extension of F i E is ...
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Multiplicative Groups of Galois Extensions
The author obtains the following interesting results: Theorem. Let \(K\) be a Galois extension of \(k\) with Galois group \(G\) and suppose that \(G\) contains two dihedral subgroups \(D_ p\) and \(D_ q\) for distinct odd primes \(p\), \(q\). Then if \(F_ 1,\dots, F_ N\) are the maximal proper subfields of \(K/k\) then \(K^ \times= F_ 1^ \times \dots ...
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Equivalence Theorems and Hopf–Galois Extensions
This work studies equivalence theorems for categories \({\mathcal M}(H)^D_A\) of right (\(D\)-\(A\))-Hopf modules. The authors get a characterization of the Hopf-Galois extensions. The paper has three main parts. In section two the notions which are going to be used are defined and some of the theorems relating the category of modules over a ring and ...
MENINI, Claudia, ZUCCOLI M.
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Advanced Vector Extensions 512 Acceleration of LSH and LEA-GCM
This paper presents high-performance Advanced Vector Extensions 512 (AVX-512) implementations of two Korean standard cryptographic algorithms: the Lightweight Secure Hash (LSH) function and Lightweight Encryption Algorithm–Galois/Counter Mode (LEA-GCM ...
Seung-Won Lee +5 more
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STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
Let $E$ be an elliptic curve over $\mathbb{Q}$, and let ${\it\varrho}_{\flat }$ and ${\it\varrho}_{\sharp }$ be odd two-dimensional Artin representations for which ${\it\varrho}_{\flat }\otimes {\it\varrho}_{\sharp }$ is self-dual.
HENRI DARMON, ALAN LAUDER, VICTOR ROTGER
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