The asymptotic Hopf algebra of Feynman integrals by Mrigankamauli Chakraborty, Franz Herzog

“…We show that for such expansions valid around small/large masses and momenta the graph combinatorial operations can be formulated in terms of what we call the asymptotic Hopf algebra. This Hopf algebra is closely related to the motic Hopf algebra underlying the R ∗ operation, an extension of Bogoliubov’s R operation, to subtract both IR and UV divergences of Feynman integrals in the Euclidean. …”
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The prime spectrum of a BCI-algebra by Ardavan Najafi, Arsham Borumand Saeid

Subjects: “…bci-algebras…”
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Geometric Algebra Techniques in Flux Compactifications by Calin Iuliu Lazaroiu, Elena Mirela Babalic, Ioana Alexandra Coman

“…We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions into differential and algebraic constraints on collections of differential forms. …”
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On a family of weighted convolution algebras by Hans G. Feichtinger, A. Turan Gürkanli

Subjects: “…Beurling algebra…”
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Fréchet algebras generated by certain of their elements by S. Ouzomgi, L. Redlin, S. Watson

Subjects: “…Fréchet algebras…”
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The Cuntz Comparison in the Standard C*-Algebra by Xiaochun Fang, Nung-Sing Sze, Xiao-Ming Xu

“…The Cuntz comparison, introduced by Cuntz in early 1978, associates each C*-algebra with an abelian semigroup which is an invariant for the classification of the nuclear C*-algebras and called the Cuntz semigroup. …”
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Hilbert Implication Algebra and Some Properties by Dejen Gerima Tefera

“…The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. …”
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Completeness of the set of sub-σ-algebras by Xikui Wang

“…A new metric is introduced on the set of all sub-σ-algebras of a complete probability space from functional analysis point of view. …”
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Annihilators on weakly standard BCC-algebras by R. Halaš, L. Plojhar

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Algebraic version of convex combination patches by Kęstutis Karčiauskas

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On the classification of the Lie algebras Lr,ts by L. A-M. Hanna

“…The Lie algebras Lr,ts introduced by the author (2003) are classified from an algebraic point of view. …”
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A Class of Weak Hopf Algebras by Dongming Cheng

“…The weak Hopf extension of Hopf algebra Hn has a quotient Hopf algebra and a sub-Hopf algebra which are isomorphic to Hn.…”
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A simple construction of the Rumin algebra by Case, Jeffrey S.

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The criteria for automorphisms on finite-dimensional algebras by Yanni Yang, Quanguo Chen

Subjects: “…hopf algebra…”
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On the Arens products and reflexive Banach algebras by Pak-Ken Wong

Subjects: “…weakly completely continuous (w.c.c.) algebra.…”
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Nonlinear differential equations and algebraic systems by Lloyd K. Williams

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The compactum and finite dimensionality in Banach algebras by Abdullah H. Al-Moajil

“…Given a Banach algebra A, the compactum of A is defined to be the set of elements x∈A such that the operator a→xax is compact. …”
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An Algebraic Approach to Light–Matter Interactions by Ivan Fernandez‐Corbaton

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Accurate quantification of the algebraic, multiplicative algebraic, and simultaneous iterative reconstruction techniques in ionosphere rebuilding based on the TIEGCM assessment by Ao Qi, HaiBing Ruan

“…The algebraic reconstruction technique (ART), multiplicative algebraic reconstruction technique (MART), and simultaneous iterative reconstruction technique (SIRT) are computational methodologies extensively utilized within the field of computerized ionospheric tomography (CIT) to facilitate three-dimensional reconstruction of the ionospheric morphology. …”
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Calculations on Lie Algebra of the Group of Affine Symplectomorphisms by Zuhier Altawallbeh

“…We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). …”
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