Results 31 to 40 of about 2,240,617 (314)
The Algebraic Bethe Ansatz and Tensor Networks [PDF]
, 2012 We describe the Algebraic Bethe Ansatz for the spin-1/2 XXX and XXZ Heisenberg chains with open and periodic boundary conditions in terms of tensor networks.
A. A. Zvyagin +11 more
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Reverse Mathematics and Algebraic Field Extensions [PDF]
, 2012 This paper analyzes theorems about algebraic field extensions using the techniques of reverse mathematics. In section 2, we show that $\mathsf{WKL}_0$ is equivalent to the ability to extend $F$-automorphisms of field extensions to automorphisms of $\bar ...
Dorais, François G. +2 more
core +1 more source
A Survey of Algebraic Extensions of Commutative, Unital Normed Algebras [PDF]
, 2002 We describe the role of algebraic extensions in the theory of commutative, unital normed algebras, with special attention to uniform algebras. We shall also compare these constructions and show how they are related to each other.
T. Dawson
semanticscholar +1 more source
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
doaj +1 more source
On the compositum of all degree d extensions of a number field [PDF]
, 2013 Let k be a number field, and denote by k^[d] the compositum of all degree d extensions of k in a fixed algebraic closure. We first consider the question of whether all algebraic extensions of k of degree less than d lie in k^[d]. We show that this occurs
Gal, Itamar, Grizzard, Robert
core +2 more sources
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
doaj +1 more source
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
openaire +2 more sources
On the Computing of Symbolic 2-Plithogenic And 3-Plithogenic Complex Roots of Unity [PDF]
Neutrosophic 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
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.
openaire +2 more sources
A view of canonical extension [PDF]
, 2010 This is a short survey illustrating some of the essential aspects of the theory of canonical extensions. In addition some topological results about canonical extensions of lattices with additional operations in finitely generated varieties are given.
B. Jónsson +10 more
core +4 more sources