Abstract
A general form of nonlinear factorization equations in rings and normed rings is considered. Using nonlinear factorization equation, two basic facts on the existence of factorization are obtained that were hard to deduce or completely out of reach for the methods of direct construction of inverse factorization. The first of these facts relates to the factorization of near-identity elements constructed earlier with strong additional limitations. The second fact includes factorization of irreversible elements in the so called conservative case.
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Translated by E. Oborin
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Yengibaryan, N.B. On the Nonlinear Factorization Equation in a Normed Ring. J. Contemp. Mathemat. Anal. 57, 276–282 (2022). https://doi.org/10.3103/S1068362322050089
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DOI: https://doi.org/10.3103/S1068362322050089