Results 1 to 10 of about 61,116 (180)
Open-string non-associativity in an R-flux background
We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H -flux, we show that open strings with end points on D3-branes in a three ...
Dieter Lüst +3 more
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Algebraical Entropy and Arrow of Time [PDF]
Usually, it is supposed that irreversibility of time appears only in macrophysics. Here, we attempt to introduce the microphysical arrow of time assuming that at a fundamental level nature could be non-associative.
Merab Gogberashvili
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Neutrosophic N −structures on strong Sheffer stroke non-associative MV-algebras [PDF]
The aim of the study is to examine a neutrosophic N −subalgebra, a neutrosophic N −filter, level sets of these neutrosophic N −structures and their properties on a strong Sheffer stroke non-associative MV-algebra.
Tahsin Oner, Tugce Katican, Akbar Rezaei
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Axes in non-associative algebras [PDF]
"Fusion rules" are laws of multiplication among eigenspaces of an idempotent. This terminology is relatively new and is closely related to axial algebras, introduced recently by Hall, Rehren and Shpectorov. Axial algebras, in turn, are closely related to $3$-transposition groups and Vertex operator algebras.
Louis ROWEN, Yoav SEGEV
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Research on a Class of Special Quasi TA-Neutrosophic Extended Triplet: TA-Groups [PDF]
Tarski associative groupoid (TA-groupoid) and Tarski associative neutrosophic extended triplet groupoid (TA-NET-groupoid) are two interesting structures in non-associative algebra. In this paper, a new concept of TA-group is proposed based on TA-groupoid,
Mingming Chen, Yudan Du, Xiaogang An
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Non-associative Algebras [PDF]
These lecture notes were prepared for the Summer School in Algebra and Topology held at the Institut de Recherche en Math\'ematique et Physique of the Universit\'e catholique de Louvain, 12th-15th September 2018.
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On the Isotopy of some Varieties of Fenyves Quasi Neutrosophic Triplet Loop (Fenyves BCI-algebras) [PDF]
Neutrosophy theory has found application in health sciences in recent years. There is the need to develop neutrosophic algebraic systems which are good and appropriate for studying and understanding the effects of diseases and their possible treatments.
Temitope Gbolahan Jaiyéolá +3 more
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Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras
The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
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Non-Associative Structures and Their Applications in Differential Equations
This article establishes a connection between nonlinear DEs and linear PDEs on the one hand, and non-associative algebra structures on the other. Such a connection simplifies the formulation of many results of DEs and the methods of their solution.
Yakov Krasnov
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A class of continuous non-associative algebras arising from algebraic groups including $E_8$
We give a construction that takes a simple linear algebraic group G over a field and produces a commutative, unital, and simple non-associative algebra A over that field.
Maurice Chayet, Skip Garibaldi
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