A novel method for developing post-quantum cryptoschemes and a practical signature algorithm by Nikolay Andreevich Moldovyan, Dmitriy Nikolaevich Moldovyan

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The Strict AKNS Hierarchy: Its Structure and Solutions by G. F. Helminck

“…We discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space of sl2 than that in the AKNS case and whose Lax equations are based on a different decomposition of this loop space. …”
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h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C by Kwang Hyun Kim, Xin Zhang

“…The method is based on a recursive computation of the h-adic polynomial in commutative algebra which is a generalization of the Taylor polynomial. …”
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Identifying optimal large N limits for marginal ϕ 4 theory in 4d by Nadia Flodgren

“…Abstract We apply our previously developed approach to marginal quartic interactions in multiscalar QFTs, which shows that one-loop RG flows can be described in terms of a commutative algebra, to various models in 4d. We show how the algebra can be used to identify optimal scalings of the couplings for taking large N limits. …”
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Localization and Flatness in Quantale Theory by George Georgescu

“…The study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales. …”
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The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras by Yue Zhu, Keli Zheng

“…Mock-Lie algebras, a unique class of commutative algebras that satisfy the Jacobi identity, are gaining attention for their potential applications in various mathematical contexts. …”
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Constructions of L∞ Algebras and Their Field Theory Realizations by Olaf Hohm, Vladislav Kupriyanov, Dieter Lüst, Matthias Traube

“…We discuss special cases such as the commutator algebra of octonions, its contraction to the “R-flux algebra,” and the Courant algebroid.…”
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