Results 41 to 50 of about 3,750 (203)
On commutativity of one-sided s-unital rings
The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
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We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A∞-algebras of Fukaya-Oh-Ohta-Ono.Ministerio de Educación y CienciaFondo Europeo de Desarrollo RegionalGeneralitat de CatalunyaJunta de ...
Tonks, Andrew, Muro Jiménez, Fernando
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Counterexamples to the extendibility of positive unital norm-one maps
International audienceArveson's extension theorem guarantees that every completely positive map defined on an operator system can be extended to a completely positive map defined on the whole C*-algebra containing it.
Chiribella, Giulio +5 more
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Zero Triple Product Determined Matrix Algebras
Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
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Improvements of operator reverse AM-GM inequality involving positive linear maps
In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim +2 more
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Unit lemniscates contained in the unit ball [PDF]
Let { A 1
Shih, Mau-Hsiang, Wang, Hann-Tzong
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The Picard groups for unital inclusions of unital C∗-algebras
We shall introduce the notion of the Picard group for an inclusion of C -algebras. We shall also study its basic properties and the relation between the Picard group for an inclusion of C -algebras and the ordinary Picard group.
Kodaka Kazunori
core
Commutative unital rings elementarily equivalent to prescribed product rings
The classical 1959 work of Feferman-Vaught gives a powerful, constructive analysis of definability in (generalized) product structures, and certain associated enriched Boolean structures.
Macintyre A. J., D'Aquino P.
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