Results 11 to 20 of about 93 (80)
New classes of nonassociative divison algebras and MRD codes [PDF]
, 2021 In the first part of the thesis, we generalize a construction by J Sheekey that employs skew polynomials to obtain new nonassociative division algebras and maximum rank distance (MRD) codes.
Thompson, Daniel
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Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors
Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023 Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol +3 more
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International Journal for Numerical Methods in Engineering, Volume 124, Issue 11, Page 2423-2448, 15 June 2023., 2023 Summary An enhancement of the extended B‐spline‐based implicit material point method (EBS‐MPM) is developed to avoid pressure oscillation and volumetric locking. The EBS‐MPM is a stable implicit MPM that enables the imposition of arbitrary boundary conditions thanks to the higher‐order EBS basis functions and the help of Nitsche's method. In particular,
Riichi Sugai +4 more
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International Journal for Numerical Methods in Engineering, Volume 124, Issue 9, Page 1991-2013, 15 May 2023., 2023 Abstract By blending the primal‐dual interior point method (PDIPM) and the return mapping algorithm, we propose a hybrid strategy of implicit stress update for a class of hypoelastic‐plastic models with the hardening rule whose evolution is restricted by the memory surface.
Yuichi Shintaku +2 more
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Some Algebraic Properties of the Wilson Loop
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this article, some algebraic properties of the Wilson loop have been investigated in a broad manner. These properties include identities, autotopisms, and implications. We use some equivalent conditions to study the behavior of holomorphism of this loop. Under the shadow of this holomorphism, we are able to observe coincident loops.
Han Li +4 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The LA‐module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA‐rings). Because of peculiar characteristics of LA‐ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade.
Asima Razzaque +2 more
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The Beckman–Quarles Theorem in Hyperbolic Geometry
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we present the counterpart of the Beckman–Quarles theorem in the Poincaré disc model of hyperbolic geometry to characterize the gyroisometries (hyperbolic isometries) with a single nonzero distance a ∈ (0,1) satisfying a2 ∈ ℚ.
Oğuzhan Demirel +3 more
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On Distance in Some Finite Planes and Graphs Arising from Those Planes
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, affine and projective graphs are obtained from affine and projective planes of order pr by accepting a line as a path. Some properties of these affine and projective graphs are investigated. Moreover, a definition of distance is given in the affine and projective planes of order pr and, with the help of this distance definition, the ...
I. Dogan, A. Akpinar, Ahmet Sinan Cevik
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Nonassociative cyclic extensions of fields and central simple algebras [PDF]
, 2018 We define nonassociative cyclic extensions of degree m of both fields andcentral simple algebras over fields. If a suitable field contains a primitive mth (resp., qth) root of unity, we show that suitable nonassociative generalized cyclic division ...
Brown, C. +3 more
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Nonassociative differential extensions of characteristic p [PDF]
, 2017 Let F be a field of characteristic p. We define and investigate nonassociative differential extensions of F and of a finite-dimensional central division algebra over F and give a criterium for these algebras to be division.
Pumpluen, Susanne, S. Pumplün
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