Results 21 to 30 of about 2,240,617 (314)
On extensions of Cayley algebras [PDF]
Proceedings of the American Mathematical Society, 1966 In this note the authors prove the following theorem: Let \(A\) be an alternative algebra over \(F\) and \(B\) any subalgebra with identity \(e\). Then consider the following conditions. (i) There exists \(x, y\in B\), \(\alpha\in F\) such that \(e = \alpha(x, y)^4\), where \((x, y) = xy - yx\).
Humm, Margaret M., Kleinfeld, Erwin
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On central extensions of simple differential algebraic groups [PDF]
, 2015 We consider central extensions $Z\hookrightarrow E\twoheadrightarrow G$ in the category of linear differential algebraic groups. We show that if $G$ is simple non-commutative and $Z$ is unipotent with the differential type smaller than that of $G$, then ...
Minchenko, Andrei
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On extensions of superconformal algebras [PDF]
Journal of Mathematical Physics, 2005 Starting from vector fields that preserve a differential form on a Riemann sphere with Grassmann variables, one can construct a superconformal algebra by considering central extensions of the algebra of vector fields. In this paper, the N=4 case is analyzed closely, where the presence of weight zero operators in the field theory forces the introduction
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Extensions of associative algebras [PDF]
Communications in Contemporary Mathematics, 2014 In this paper, we translate the problem of extending an associative algebra by another associative algebra into the language of codifferentials. The authors have been constructing moduli spaces of algebras and studying their structure by constructing their versal deformations. The codifferential language is very useful for this purpose.
Fialowski, A., Penkava, M.
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Some Implicational Semilinear Gaggle Logics: (Dual) Residuated-Connected Logics
Axioms, 2022 Implicational partial Galois logics and some of their semilinear extensions, such as semilinear extensions satisfying abstract Galois and dual Galois connection properties, have been introduced together with their relational semantics.
Eunsuk Yang
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Proceedings of the American Mathematical Society, 2016 The main result of the paper is a flat extension theorem for positive linear functionals on ∗ *
Mourrain, Bernard, Schmüdgen, Konrad
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Extensions of uniform algebras [PDF]
Banach Journal of Mathematical Analysis, 2019 The theory of algebraic extensions of Banach algebras is well established, and there are many constructions which yield interesting extensions. In particular, Cole's method for extending uniform algebras by adding square roots of functions to a given uniform algebra has been used to solve many problems within uniform algebra theory.
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Journal of Applied Mathematics, 2004 Using a general and simple algebraic approach, some results on Krall-type orthogonal polynomials and some of their extensions are obtained.
R. Álvarez-Nodarse +2 more
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Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
Physics Letters B, 2020 We explore N=1 supersymmetric extensions of algebras going beyond the Poincaré and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one ...
Patrick Concha +2 more
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