Results 21 to 30 of about 271 (183)
Projective varieties have countably many real forms
Comptes Rendus. Mathématique, 2023 In this note, we check that a complex projective algebraic variety has (at most) countably many real forms. We more generally prove it when the field of reals is replaced with a field that has only countably many finite extensions up to isomorphism.
Labinet, Timothée L.
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Chern classes of automorphic vector bundles, II [PDF]
Épijournal de Géométrie Algébrique, 2019 We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
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A Poset Classifying Non-Commutative Term Orders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We study a poset $\Re$ on the free monoid (X*) on a countable alphabet X.This poset is determined by the fact that its total extensions are precisely the standard term orders on X*.
Jan Snellman
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The Galois extensions induced by idempotents in a Galois algebra
International Journal of Mathematics and Mathematical Sciences, 2002 Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b for all x∈B} for each g∈G, eg the central idempotent such that BJg=Beg, and eK=∑g∈K,eg≠1eg for a subgroup K of G.
George Szeto, Lianyong Xue
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The general Ikehata theorem for H-separable crossed products
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, C the center of B, G an automorphism group of B of order n for some integer n, CG the set of elements in C fixed under G, Δ=Δ(B,G,f) a crossed product over B where f is a factor set from G×G to U(CG). It is shown that Δ is
George Szeto, Lianyong Xue
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Four-Fold Formal Concept Analysis Based on Complete Idempotent Semifields
Mathematics, 2021 Formal Concept Analysis (FCA) is a well-known supervised boolean data-mining technique rooted in Lattice and Order Theory, that has several extensions to, e.g., fuzzy and idempotent semirings.
Francisco José Valverde-Albacete +1 more
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On Hopf-Galois extensions of linear categories
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We continue the investigation of H-Galois extensions of linear categories, where H is a Hopf algebra. In our main result, the Theorem 2.2, we characterize this class of extensions in the case when H is finite dimensional.
Stănescu Anca
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On the Existential Theory of the Completions of a Global Field
Mathematische Nachrichten, EarlyView.ABSTRACT We discuss the common existential theory of all or almost all completions of a global function field.
Philip Dittmann, Arno Fehm
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Interpretations and Differential Galois Extensions
International Mathematics Research Notices, 2016 We give model theoretic accounts and proofs of the existence and uniqueness of differential Galois extensions with no new constants, for logarithmic differential equations over a differential field K, when the field C of constants of K is not necessarily algebraically closed, under a variety of assumptions on C and K.
Kamensky, Moshe, Pillay, Anand
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An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
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