The Boolean algebra of Galois algebras 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, and BJg=Beg for a central idempotent eg, Ba the Boolean algebra generated by {0,eg|g∈G}, e a nonzero element in Ba, and He={g∈G|eeg=e}. …”
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The Boolean algebra and central Galois algebras 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 g∈G, and BJg=Beg for a central idempotent eg. …”
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(⊙, ∨)-Derivations on EMV-algebras and EBL-algebras by Tao Liu, Hongxing Liu

“…In the paper, we will study (∘, ∨)-derivations on EMV-algebras and EBL-algebras. Firstly, we define the notions of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, and we also introduce some classes of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, such as principal (∘, ∨)-derivations and isotone (∘, ∨)-derivations. …”
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Schur Algebras over C*-Algebras by Pachara Chaisuriya, Sing-Cheong Ong, Sheng-Wang Wang

“…Let 𝒜 be a C*-algebra with identity 1, and let s(𝒜) denote the set of all states on 𝒜. …”
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Approximate Preservers on Banach Algebras and C*-Algebras by M. Burgos, A. C. Márquez-García, A. Morales-Campoy

“…The aim of the present paper is to give approximate versions of Hua’s theorem and other related results for Banach algebras and C*-algebras. We also study linear maps approximately preserving the conorm between unital C*-algebras.…”
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Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras by Dan Chen, Xiao-Song Peng, Chia Zargeh, Yi Zhang

“…In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras, and matching pre-Lie algebras. …”
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The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra by Xue Chen

“…Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. …”
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On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) by Victoriia Kravtsiv, Taras Vasylyshyn, Andriy Zagorodnyuk

“…We consider polynomials on spaces lpCn,1≤p<+∞, of p-summing sequences of n-dimensional complex vectors, which are symmetric with respect to permutations of elements of the sequences, and describe algebraic bases of algebras of continuous symmetric polynomials on lpCn.…”
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