Results 51 to 60 of about 24,051 (192)
σ-derivations on generalized matrix algebras
Let be a commutative ring with unity, 𝒜, be -algebras, be (𝒜, )-bimodule and 𝒩 be (, 𝒜)-bimodule. The -algebra 𝒢 = 𝒢(𝒜, , 𝒩, ) is a generalized matrix algebra defined by the Morita context (𝒜, , , 𝒩, ξ𝒩, Ω𝒩).
Jabeen Aisha +2 more
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Solutions of the Yang–Baxter Equation Arising from Brauer Configuration Algebras
Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions.
Agustín Moreno Cañadas +2 more
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Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra
We establish the hyperstability of -Jordan homomorphisms from a normed algebra to a Banach algebra, and also we show that an -Jordan homomorphism between two commutative Banach algebras is an -ring homomorphism.
Yang-Hi Lee
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On the Extensions of Zassenhaus Lemma and Goursat’s Lemma to Algebraic Structures
The Jordan–Hölder theorem is proved by using Zassenhaus lemma which is a generalization of the Second Isomorphism Theorem for groups. Goursat’s lemma is a generalization of Zassenhaus lemma, it is an algebraic theorem for characterizing subgroups of the ...
Fanning Meng, Junhui Guo
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On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
State Spaces of Jordan Algebras [PDF]
In this chapter we will discuss properties of the normal state space of JBW-algebras. Since every JB-algebra state space is also the normal state space of a JBW-algebra (Corollary 2.61), these properties also apply to JB-algebra state spaces.
Alfsen, Erik M., Shultz, Frederic W.
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Invertibility-preserving maps of C∗-algebras with real rank zero
In 1996, Harris and Kadison posed the following problem: show that a linear bijection between C∗-algebras that preserves the identity and the set of invertible elements is a Jordan isomorphism. In this paper, we show that if A and B are semisimple Banach
Istvan Kovacs
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The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras
In order to characterize the maps completely preserving *Jordan zeroproducts on factor von Neumann algebras, according to the definition of bilateral complete preserving *Jordan zeroproducts and bilateral 2preserving *Jordan zeroproducts, taking a ...
LIU Hong-yu, HUO Dong-hua
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Survey‐Based Research for Creativity and Innovation Management: Review and Recommendations
ABSTRACT Survey methodology remains a widely used data collection method in creativity and innovation management studies. However, evolving technological advancements and methodological challenges necessitate a reassessment of best practices to benefit the most from it.
Marco Mismetti +2 more
wiley +1 more source
Dimensionally nilpotent Jordan algebras [PDF]
An algebra A A of dimension n n is called dimensionally nilpotent if it has a nilpotent derivation ∂ \partial with the property that ∂ n − 1 ≠ 0 {\partial ^{n - 1}} \ne ...
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