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  1. 1681
    por MacCallum, Malcolm A. H.
    Publicado 2018
    “…The complicated nature of calculations in general relativity was one of the driving forces in the early development of computer algebra (CA). CA has become widely used in gravity research (GR) and its use can be expected to grow further. …”
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    Computer algebra in gravity research
  2. 1682
    “…In this paper we introduce the notion of [Formula: see text]-algebras as a generalization of BE-algebras, we investigate its elementary properties. …”
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    A new generalization of BE-algebras
  3. 1683
    por Nigsch, Eduard A.
    Publicado 2017
    “…We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition.…”
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    Colombeau algebras without asymptotics
  4. 1684
    “…For unidentifiable models, we present a novel numerical differential algebra technique aimed at computing a set of algebraically independent identifiable functions. …”
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    Identifiability and numerical algebraic geometry
  5. 1685
    por Bataineh, Khaled, Al Asmer, Nabil
    Publicado 2020
    “…We develop a method for computing Kauffman bracket and Jones polynomial for algebraic tangles and their numerator closures. We also introduce the notion of connectivity type of pretzel tangles and give a way of computing it. …”
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    Algebraic tangles and Jones polynomial()
  6. 1686
    “…Following Milner’s flowgraph algebra, in a previous paper two of the authors introduced a strong network algebra to represent open graphs (up to isomorphism), so that homomorphic properties of open graphs can be computed via structural recursion. …”
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    Algebras for Tree Decomposable Graphs
  7. 1687
    “…Algebraic datatypes, and among them lists and trees, have attracted a lot of interest in automated reasoning and Satisfiability Modulo Theories (SMT). …”
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    Politeness for the Theory of Algebraic Datatypes
  8. 1688
    “…Effect algebras form an algebraic formalization of the logic of quantum mechanics. …”
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    The logic induced by effect algebras
  9. 1689
    por Niestegge, Gerd
    Publicado 2020
    “…However, the transition probability defined here achieves a lot more beyond that: it demonstrates that the algebraic structure of the Hilbert space quantum logic dictates the precise values of certain probabilities and it provides an unexpected access to these quantum probabilities that does not rely on states or wave functions.…”
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    Quantum Probability’s Algebraic Origin
  10. 1690
    por Longo, Roberto
    Publicado 2022
    “…We study the modular Hamiltonian associated with a Gaussian state on the Weyl algebra. We obtain necessary/sufficient criteria for the local equivalence of Gaussian states, independently of the classical results by Araki and Yamagami, Van Daele, Holevo. …”
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    Modular Structure of the Weyl Algebra
  11. 1691
    por Mukhamedov, Farrukh, Qaralleh, Izzat
    Publicado 2022
    “…In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of S-evolution algebras. …”
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    Entropy Treatment of Evolution Algebras
  12. 1692
    por Gogberashvili, Merab
    Publicado 2022
    “…This algebraical entropy can be used to determine the arrow of time, analogically as thermodynamic entropy does.…”
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    Algebraical Entropy and Arrow of Time
  13. 1693
    “…We develop an algebraic framework for sequential data assimilation of partially observed dynamical systems. …”
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    Data assimilation in operator algebras
  14. 1694
    por Dobrev, V.K.
    Publicado 2012
    “…Our starting points is the class of algebras, which we call 'conformal Lie algebras' (CLA), which have very similar properties to the conformal algebras of Minkowski space-time, though our aim is to go beyond this class in a natural way. …”
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    Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
  15. 1695
    por Bratteli, Ola, Robinson, Derek W
    Publicado 1979
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    Operator algebras and quantum statistical mechanics: c*- and w*-algebras symmetry groups decomposition of states
  16. 1696
    por Corrigan, E, Hollowood, Timothy J
    Publicado 1988
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    A string construction of a commutative non-associative algebra related to the exceptional Jordan algebra
  17. 1697
    por Heintze, Ernst
    Publicado 2012
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    Finite order automorphisms and real forms of affine kac-moody algebras in the smooth and algebraic category
  18. 1698
    por Weiner, Michael David
    Publicado 1998
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    Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras
  19. 1699
    por Lal, Ramji
    Publicado 2017
    “…This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. …”
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    Algebra 2: linear algebra, Galois theory, representation theory, group extensions and Schur multiplier
  20. 1700
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    Computer Algebra in Scientific Computing : Proceedings of the 4th International Workshop on Computer Algebra in Scientific Computing
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