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We study how the black hole complementarity principle can emerge from quantum gravitational dynamics within a local semiclassical approximation. Further developing and then simplifying a microstate model based on the fragmentation instability of a near ...
Tanay Kibe +3 more
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Nonlinear Skew Lie-Type Derivations on ∗-Algebra
Let A be a unital ∗-algebra over the complex fields C. For any H1,H2∈A, a product [H1,H2]•=H1H2−H2H1* is called the skew Lie product. In this article, it is shown that if a map ξ : A→A (not necessarily linear) satisfies ξ(Pn(H1,H2,…,Hn))=∑i=1nPn(H1,…,Hi ...
Md Arshad Madni +2 more
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Triality Groups Associated with Triple Systems and their Homotope Algebras
We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice versa.
Kamiya Noriaki
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On Implicative and Positive Implicative GE Algebras
GE algebras (generalized exchange algebras), transitive GE algebras (tGE algebras, for short) and aGE algebras (that is, GE algebras verifying the antisymmetry) are a generalization of Hilbert algebras. Here some properties and characterizations of these
Andrzej Walendziak
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λ–Algebra with Some of Their Properties
The objective of this paper is, firstly, we study a new concept noted by algebra and discuss the properties of this concept. Secondly, we introduce a new concept related to the algebra such as smallest algebra. Thirdly, we introduce the notion of the restriction of algebra on a nonempty subset of and investigate some of its basic properties ...
Hassan Hussien Ebrahim +1 more
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On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups
The notions of an inf-hesitant fuzzy Γ-ideal and a sup,inf-hesitant fuzzy Γ-ideal, which are a generalization of an interval-valued fuzzy Γ-ideal, of a Γ-semigroup are introduced and some properties are investigated.
Pongpun Julatha, Aiyared Iampan
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A CHARACTERIZATION OF DERIVATIONS AND AUTOMORPHISMS ON SOME SIMPLE ALGEBRAS
In the present paper, we study simple algebras, which do not belong to the well-known classes of algebras (associative algebras, alternative algebras, Lie algebras, Jordan algebras, etc.).
Farhodjon Arzikulov +2 more
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Algebras of Vector Functions over Normed Fields
This article is devoted to study of vector functions in Banach algebras and Banach spaces over normed fields. A structure of their Banach algebras is investigated. Banach algebras of vector functions with values in ∗-algebras, finely regular algebras, B∗-
Sergey Victor Ludkowski
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In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions.
Mohammad Ali Hashemi
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BL-Algebras with Permuting Tri-Derivations
Basic logic algebras (BL-algebras) were introduced by Hajek. Multi-value algebras (MV-algebras), Gödel algebras, and product algebras are particular cases of BL-algebras.
Damla Yılmaz
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