Results 21 to 30 of about 439,115 (199)
Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions
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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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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On the Representation of the Lattices of the Algebraic Sets of the Universal Algebras
The concept of an algebraic set is a basic concept of the classical algebraic geometry over fields. This concept, along with the concept of an algebraic lattice of algebraic sets is the basic concept of so-called algebraic geometry of universal algebras.
A.G. Pinus
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Algebraically Birational Extensions
Birational algebras are generalizations of Zariski central rings. Their definition is purely topological, in terms of open sets in the Zariski topology. The paper adds an algebraic condition (which is intrinsically non-commutative) in order to obtain non-commutative information from central information.
Van Oystaeyen, F., Nouh, M.
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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]
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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On the Computing of Symbolic 2-Plithogenic And 3-Plithogenic Complex Roots of Unity [PDF]
The concept of unity roots plays a central role in the theory of field extensions and polynomials roots' computing. The objective of this paper is to find the algebraic formula for computing the symbolic 2-plithogenic and 3-plithogenic complex roots of ...
Nabil Khuder Salman
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Extensions of algebraic systems [PDF]
There are several generalizations to universal algebras of the notion "The group A \mathfrak {A}
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Extensions of algebraic groups [PDF]
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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EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II [PDF]
AbstractIn this paper, we construct the unique (up to isomorphism) extension algebra, denoted by E∞, of the Cuntz algebra 𝒪∞ by the C*-algebra of compact operators on a separable infinite-dimensional Hilbert space. We prove that two unital monomorphisms from E∞ to a unital purely infinite simple C*-algebra are approximately unitarily equivalent if and ...
Liu, Shudong, Fang, Xiaochun
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