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math.RA2026
Ideals in Arbitrary Three-Dimensional Algebras
M. V. Velasco, U. A. Rozikov, B. A. Narkuziev
In this paper, we study arbitrary (not necessarily associative) 3-dimensional algebras. Such an algebra A is determined by a basis and the corresponding multiplication table, which…
math-ph2026
Non-Linear Generalization of the DLR Equations: -Specifications and -Equilibrium Measures
F. H. Haydarov, B. A. Omirov, U. A. Rozikov
We introduce a {\it non-linear} generalization of the classical Dobrushin-Lanford-Ruelle (DLR) framework by developing the concept of a -specification and the associated -equ…