Results 31 to 40 of about 449,654 (297)
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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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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Algebraically Birational Extensions
Journal 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.
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones 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
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Contributions to the essential dimension of finite and algebraic groups [PDF]
, 2010 Essential dimension, introduced by Joe Buhler and Zinovy Reichstein and in its most general form by Alexander Merkurjev is a measure of complexity of algebraic objects such as quadratic forms, hermitian forms, central simple algebras and étale algebras ...
Lötscher, Roland
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On the Representation of the Lattices of the Algebraic Sets of the Universal Algebras
Известия 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
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Noncommutative coding theory and algebraic sets for skew PBW extensions [PDF]
, 2023 The classical commutative coding theory has been recently extended to noncommutative rings of polynomial type. There are many interesting works in coding theory over single Ore extensions.
Lezama, Oswaldo, Gallego, Claudia
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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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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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EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II [PDF]
Bulletin 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
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