Results 41 to 50 of about 2,240,617 (314)
Explicitly solvable systems of two autonomous first-order Ordinary Differential Equations with homogeneous quadratic right-hand sides [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 After tersely reviewing the various meanings that can be given to the property of a system of nonlinear ODEs to be solvable, we identify a special case of the system of two first-order ODEs with homogeneous quadratic right-hand sides which is explicitly ...
Francesco Calogero, Farrin Payandeh
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Finite automata and algebraic extensions of function fields [PDF]
, 2005 We give an automata-theoretic description of the algebraic closure of the rational function field F_q(t) over a finite field, generalizing a result of Christol.
Kedlaya, Kiran S.
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Extensions of algebraic systems [PDF]
Transactions of the American Mathematical Society, 1984 There are several generalizations to universal algebras of the notion "The groupA\mathfrak {A}is an extension of the groupB\mathfrak {B}by the groupC\mathfrak {C}". In this paper we study three such generalizations and the corresponding products of classes of algebraic systems. Various results are presented.
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Resonant superalgebras for supergravity
European Physical Journal C: Particles and Fields, 2022 Considering supergravity theory is a natural step in the development of gravity models. This paper follows the “algebraic“ path and constructs possible extensions of the Poincaré and Anti-de-Sitter algebras, which inherit their basic commutation ...
Remigiusz Durka, Krzysztof M. Graczyk
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A topological interpretation of three Leibnizian principles within the functional extensions [PDF]
Logical Methods in Computer Science, 2018 Three philosophical principles are often quoted in connection with Leibniz: "objects sharing the same properties are the same object" (Identity of indiscernibles), "everything can possibly exist, unless it yields contradiction" (Possibility as ...
Marco Forti
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The minimum number of generators for inseparable algebraic extensions
, 1940 1. Finite algebraic extensions of imperfect fields. A finite separable algebraic extension L of a given field K can always be generated by a single primitive element x, in the form L = K(x).
M. Becker, S. Maclane
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Extensions of algebraic groups [PDF]
, 2006 Let $G$ be a connected complex algebraic group and $A$ a connected abelian algebraic group endowed with an algebraic action of $G$ by group automorphisms. In the present note we describe the abelian group $\Ext_{alg}(G,A)$ of algebraic group extensions of $G$ by $A$ in terms of a short exact sequence relating the ext-group to a relative second Lie ...
Kumar, S., Neeb, K. -H.
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Quasitilted extensions of algebras I [PDF]
Proceedings of the American Mathematical Society, 2000 Let A A be a connected finite dimensional
Coelho, Flávio Ulhoa +2 more
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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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The classification of extensions of 𝐶*-algebras [PDF]
Bulletin of the American Mathematical Society, 1981 where K = K(H) denotes the compact operators on a separable infinite-dimensional Hubert space H. The addition operation comes from associating to (1.1) its "Busby invariant" [4, Theorem 4.3] A —• Q(B)9 where (1(B) denotes the outer multiplier algebra of B ® K, and then using an injection of (1(B) ® (1(B) into (1(B).
Rosenberg, Jonathan, Schochet, Claude
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