Results 11 to 20 of about 28,906 (283)

Algebraic structure of path-independent quantum control

open access: yesPhysical Review Research, 2022
Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [W.-L. Ma, M. Zhang, Y. Wong, K. Noh, S. Rosenblum, P. Reinhold, R. J. Schoelkopf, and L. Jiang, Phys. Rev. Lett. 125, 110503 (2020)
Wen-Long Ma, Shu-Shen Li, Liang Jiang
doaj   +1 more source

Free algebra structure: categorical algebras [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1970
One of the more important concepts in the study of universal algebras is that of a free algebra. It is our purpose in this communication to describe the structure of the free algebra Kk() of k generators (k a positive integer) determined by a categorical algebra, and to indicate how this information encompasses results in such diverse areas as the ...
openaire   +2 more sources

Some properties of finite generalized-groups [PDF]

open access: yesJournal of Mahani Mathematical Research
In this article, we discuss  the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the ...
Nosratollah Shajareh Poursalavati
doaj   +1 more source

Similarity Sorting Method for Retrieval Results of Linear Algebra Formula [PDF]

open access: yesJisuanji gongcheng, 2018
Compared with the general mathematical formula,linear algebra formula has more complex structure and richer syntax and semantics,so it is more difficult to achieve its retrieval.Through the analysis of linear algebraic retrieval,several matching modes of
SUN Mengying,TIAN Xuedong
doaj   +1 more source

Structurable H∗-algebras

open access: yesJournal of Algebra, 1992
A structurable algebra is an algebra with involution \((A,\tau)\) satisfying \((s,x,y)=-(x,s,y)\), \((a,b,c)-(b,a,c)=(c,a,b)-(c,b,a)\) and \(\frac23[[a^ 2,a],b]=(b,a^2,a)-(b,a,a^2)\) for any symmetric elements (with respect to the involution \(\tau\)) \(a\), \(b\), \(c\), skew- symmetric \(s\) and arbitrary \(x\), \(y\) in \(A\).
Cabrera, M, Martinez, J, Rodriguez, A
openaire   +2 more sources

The Algebraic Structure of Quantity Calculus II: Dimensional Analysis and Differential and Integral Calculus

open access: yesMeasurement Science Review, 2019
In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus.
Raposo Álvaro P.
doaj   +1 more source

On the algebraic structure of Weihrauch degrees [PDF]

open access: yesLogical Methods in Computer Science, 2018
We introduce two new operations (compositional products and implication) on Weihrauch degrees, and investigate the overall algebraic structure. The validity of the various distributivity laws is studied and forms the basis for a comparison with similar ...
Vasco Brattka, Arno Pauly
doaj   +1 more source

Frobenius structural matrix algebras

open access: yesLinear Algebra and its Applications, 2013
We discuss when the incidence coalgebra of a locally finite preordered set is right co-Frobenius. As a consequence, we obtain that a structural matrix algebra over a field $k$ is Frobenius if and only if it consists, up to a permutation of rows and columns, of diagonal blocks which are full matrix algebras over $k$.
Dăscălescu, S.   +2 more
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Efficient Enumeration of Higher Order Algebraic Structures

open access: yesIEEE Access, 2020
Algebraic structures are widely studied mathematical structures in abstract algebra. Enumerating higher order algebraic structures is a computationally intensive task due to large number of possible permutations and the presence of many symmetrically ...
Majid Ali Khan
doaj   +1 more source

Gauged double field theory as an L ∞ algebra

open access: yesJournal of High Energy Physics, 2021
L ∞ algebras describe the underlying algebraic structure of many consistent classical field theories. In this work we analyze the algebraic structure of Gauged Double Field Theory in the generalized flux formalism. The symmetry transformations consist of
Eric Lescano, Martín Mayo
doaj   +1 more source

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