The Galois extensions induced by idempotents in a Galois algebra by George Szeto, Lianyong Xue

“…Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b   for all   x∈B} for each g∈G, eg the central idempotent such that BJg=Beg, and eK=∑g∈K,eg≠1eg for a subgroup K of G. …”
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The Kostant partition functions for twisted Kac-Moody algebras by Ranabir Chakrabarti, Thalanayar S. Santhanam

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Zeros of an algebraic polynomial with nonequal means random coefficients by K. Farahmand, P. Flood

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Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics by Rudolf Schmid

“…We give a review of infinite-dimensional Lie groups and algebras and show some applications and examples in mathematical physics. …”
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On the Exterior Degree of a Finite-Dimensional Lie Algebra by Afsaneh Shamsaki, Mohsen Parvizi, Ahmad Erfanian

“…In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. …”
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A class of simple tracially AF C*-algebras by N. E. Livingston

“…The concept of a tracially AF (TAF) C*-algebra was introduced recently to aid in the classification of nuclear C*-algebrasHere, we construct and study a broad class of inductive-limit C*-algebras. …”
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Exponentiating derivations of quasi ∗-algebras: possible approaches and applications by F. Bagarello, A. Inoue, C. Trapani

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The Extended Hamiltonian Algorithm for the Solution of the Algebraic Riccati Equation by Zhikun Luo, Huafei Sun, Xiaomin Duan

“…We use a second-order learning algorithm for numerically solving a class of the algebraic Riccati equations. Specifically, the extended Hamiltonian algorithm based on manifold of positive definite symmetric matrices is provided. …”
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Lie Triple Derivations on 𝒥-Subspace Lattice Algebras by Ting Wang, Fangyan Lu

“…We describe the structure of Lie triple derivations on 𝒥-subspace lattice algebras. The results can be applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras, respectively.…”
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On a Newton-Type Method for Differential-Algebraic Equations by S. Amat, M. J. Légaz, P. Pedregal

“…This paper deals with the approximation of systems of differential-algebraic equations based on a certain error functional naturally associated with the system. …”
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An amenability property of algebras of functions on semidirect products of semigroups by Bao-Ting Lerner

“…An amenability property is established for algebras of functions on S1 τ  S2. This result is used to decompose the kernel of the weakly almost periodic compactification of S1 τ  S2 into a semidirect product.…”
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On Amenability-Like Properties of a Class of Matrix Algebras by M. Rostami, S. F. Shariati, A. Sahami

“…In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. …”
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Units in families of totally complex algebraic number fields by L. Ya. Vulakh

“…Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number fields of degrees four, six, and eight.…”
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Markovian extensions and reductions of a family of σ-algebras by Jelena Bulatovic Gill

Subjects: “…Markovian family of σ-algebras; equal predictability; stochastic dynamic system; extension and reduction.…”
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Multiplicative Isometries on Some F-Algebras of Holomorphic Functions by Yasuo Iida, Kazuhiro Kasuga

“…Multiplicative (but not necessarily linear) isometries of Mp(X) onto Mp(X) will be described, where Mp(X) (p≥1) are F-algebras included in the Smirnov class N∗(X).…”
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Generalized Jordan N-Derivations of Unital Algebras with Idempotents by Xinfeng Liang

“…As an application, we give a description of generalized Jordan derivations for the condition n=2 on classical examples of unital algebras with idempotents: triangular algebras, matrix algebras, nest algebras, and algebras of all bounded linear operators, which generalize some known results.…”
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Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9 by Mercedes Pérez, Francisco P. Pérez, Emilio Jiménez

“…On the basis of the family of quasifiliform Lie algebra laws of dimension 9 of 16 parameters and 17 constraints, this paper is devoted to identify the invariants that completely classify the algebras over the complex numbers except for isomorphism. …”
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Nearly Jordan ∗-Homomorphisms between Unital 𝐶∗-Algebras by A. Ebadian, S. Kaboli Gharetapeh, M. Eshaghi Gordji

“…Let 𝐴, 𝐵 be two unital 𝐶∗-algebras. We prove that every almost unital almost linear mapping ℎ : 𝐴→𝐵 which satisfies ℎ(3𝑛𝑢𝑦+3𝑛𝑦𝑢)=ℎ(3𝑛𝑢)ℎ(𝑦)+ℎ(𝑦)ℎ(3𝑛𝑢) for all 𝑢∈𝑈(𝐴), all 𝑦∈𝐴, and all 𝑛=0,1,2,…, is a Jordan homomorphism. …”
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Approximate Biprojectivity of ℓ1-Munn Banach Algebras by G. Zarei, A. Pourabbas, M. Rostami, A. Sahami

“…Finally, we apply our results to Rees semigroup algebras.…”
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Implicative Int-Soft Filters of R0-Algebras by Young Bae Jun, Sun Shin Ahn, Kyoung Ja Lee

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