Results 11 to 20 of about 3,277 (246)
Ingeniería y Ciencia, 2020 In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes +1 more
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Onto extensions of free groups [PDF]
Groups, Complexity, Cryptology, 2021 An extension of subgroups $H\leqslant K\leqslant F_A$ of the free group of rank $|A|=r\geqslant 2$ is called onto when, for every ambient free basis $A'$, the Stallings graph $\Gamma_{A'}(K)$ is a quotient of $\Gamma_{A'}(H)$.
Sebastià Mijares, Enric Ventura
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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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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, Freddy, Nouh, 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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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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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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Algebra extensions and nonsingularity [PDF]
Journal of the American Mathematical Society, 1995 This paper is concerned with a notion of nonsingularity for noncommutative algebras which is analogous to the notion of smoothness in algebraic geometry. It arises naturally in connection with cyclic homology. Recall that an algebra \(A\) satisfies the lifting property with respect to nilpotent extensions if for every extension \[ 0\to J\to S\to T\to 0,
Cuntz, Joachim, Quillen, Daniel
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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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