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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Some results on semi maximal filters in BL−algebras by Mahta Bedrood, Asiyeh Hassani Movahed, Arsham Borumand Saeid

Subjects: “…bl−algebra…”
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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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Graph Geometric Algebra networks for graph representation learning by Jianqi Zhong, Wenming Cao

Subjects: “…Geometric Algebra…”
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An Apos Investigation into Students’ Understanding of Logical Algebraic Connectives by Idowu Oluwaseun Longe, Aneshkumar Maharaj

“…this research focused on understanding Applied Science students' abilities to correctly apply equality on connectives properties to algebraic logic expressions and to comprehend the students' schema. …”
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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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Convolution Algebraic Structures Defined by Hardy-Type Operators by Pedro J. Miana, Juan J. Royo, Luis Sánchez-Lajusticia

“…The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+). To do this, we consider some suitable kernels such that the Hardy-type operator is bounded in weighted Lebesgue spaces Lωpℝ+ for p≥1. …”
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On n-fold implicative filters of lattice implication algebras by Young Bae Jun

“…We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and n-fold implicative lattice implication algebras. …”
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Some Indices over a New Algebraic Graph by Nurten Urlu Özalan

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Invertibility-preserving maps of C∗-algebras with real rank zero by Istvan Kovacs

“…In this paper, we show that if A and B are semisimple Banach algebras and Φ:A→B is a linear map onto B that preserves the spectrum of elements, then Φ is a Jordan isomorphism if either A or B is a C∗-algebra of real rank zero. …”
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New Partial Symmetries from Group Algebras for Lepton Mixing by Shu-Jun Rong

“…New partial symmetries expressed with elements of group algebras are studied. A specific lepton mixing pattern could correspond to a set of equivalent elements of a group algebra. …”
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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra by Aiat Hadj Ahmed Driss, Ben Yakoub l'Moufadal

“…We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. …”
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