Results 21 to 30 of about 439,115 (199)

Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions

open access: yesPhysics 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
doaj   +1 more source

Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
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
doaj   +1 more source

On the Representation of the Lattices of the Algebraic Sets of the Universal Algebras

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
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
doaj   +1 more source

Algebraically Birational Extensions

open access: yesJournal of Algebra, 1995
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.
openaire   +2 more sources

Flat extensions in ∗-algebras

open access: yesProceedings 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
openaire   +2 more sources

Extensions of uniform algebras [PDF]

open access: yesBanach 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.
openaire   +5 more sources

On the Computing of Symbolic 2-Plithogenic And 3-Plithogenic Complex Roots of Unity [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
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
doaj  

Extensions of algebraic systems [PDF]

open access: yesTransactions of the American Mathematical Society, 1984
There are several generalizations to universal algebras of the notion "The group A \mathfrak {A}
openaire   +1 more source

Extensions of algebraic groups [PDF]

open access: yes, 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.
openaire   +2 more sources

EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2009
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
openaire   +2 more sources

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