Results 11 to 20 of about 20,027 (232)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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Algebraic structure of path-independent quantum control
Physical 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
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Free algebra structure: categorical algebras [PDF]
Bulletin 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 ...
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Some properties of finite generalized-groups [PDF]
Journal of Mahani Mathematical ResearchIn 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
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Journal 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
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Similarity Sorting Method for Retrieval Results of Linear Algebra Formula [PDF]
Jisuanji 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
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Measurement 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.
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Efficient Enumeration of Higher Order Algebraic Structures
IEEE 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
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On the algebraic structure of Weihrauch degrees [PDF]
Logical 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
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Frobenius structural matrix algebras
Linear 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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