Linear algebra and differential geometry on abstract Hilbert space by Alexey A. Kryukov

“…The formalism itself and its applications in linear algebra, differential equations, and differential geometry are carefully analyzed.…”
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Analyzing Some Structural Properties of Topological B-Algebras by Narciso C. Gonzaga

“…In this study, we investigate the topology on B-algebras: an algebraic system of propositional logic. …”
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A note on M-ideals in certain algebras of operators by Chong-Man Cho, Woo Suk Roh

“…In this paper, we investigate M-ideals which are also ideals in L(X), the algebra of all bounded linear operators on X. We show that K(X), the ideal of compact operators on X is the only proper closed ideal in L(X) which is both an ideal and an M-ideal in L(X).…”
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Positive implicative True-False ideals in BCK-algebras by Rajabali Borzooei, M. Mohseni Takallo, Young Bae Jun, M. Aaly Kologani

“…In BCK-algebra, the concept of  a positive implicative $T\&F$-ideal is introduced, and further several properties are  investigated. …”
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On F-Algebras Mp  (1<p<∞) of Holomorphic Functions by Romeo Meštrović

“…By a result of Stoll (1977), the Privalov space Np (1<p<∞) with the topology given by the Stoll metric dp is an F-algebra. By using these two facts, we prove that the spaces Mp and Np coincide and have the same topological structure. …”
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Orthogonal bases in a topological algebra are Schauder bases by Subbash J. Bhatt, G. M. Deheri

Subjects: “…topological algebras…”
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Computable embedding of classes of algebraic structures with congruence relation by S. Vatev, H. Ganchev, I.Sh. Kalimullin

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Geometrization of the Satake transform for mod p Hecke algebras by Robert Cass, Yujie Xu

“…We deduce this as a special case of a formula, stated in terms of the geometry of generalized Mirković–Vilonen cycles, for the Satake transform of an arbitrary parahoric mod p Hecke algebra with respect to an arbitrary Levi subgroup. …”
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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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Public key cryptosystem based on algebraic geometric codes by ZHANG Ying, YUE Dian-wu

Subjects: “…algebraic-geometry codes…”
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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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Partially-massless higher spin algebras in four dimensions by Thomas Basile, Shailesh Dhasmana

“…Abstract We propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between sp(4, ℝ) ≅ so(2, 3) and osp(1|2(ℓ − 1), ℝ). …”
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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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